Home / 106,315-171,299.50

Finding the Third Proportional to 106,315 and 171,299.50

Calculator

Solution

The third proportional to 106,315 and 171,299.50 is: 276,005.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    106,315 : 171,299.50 = 171,299.50 : x
  2. Step 2: Convert to fraction form
    106,315/171,299.50 = 171,299.50/x
  3. Step 3: Cross multiply
    106,315x = 171,299.50 × 171,299.50
  4. Step 4: Simplify right side
    106,315x = 29,343,518,700.25
  5. Step 5: Solve for x
    x = 29,343,518,700.25/106,315
  6. Step 6: Final answer
    x = 276,005.44

Related Problems

Find third proportional to 53,157.50 and 85,649.75
Half scale
Find third proportional to 212,630 and 342,599
Double scale
Find third proportional to 106,317 and 171,303
Similar ratio
Find third proportional to 159,472.50 and 256,949.25
1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.61) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.