Home / 102,713-162,980

Finding the Third Proportional to 102,713 and 162,980

Calculator

Solution

The third proportional to 102,713 and 162,980 is: 258,608.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    102,713 : 162,980 = 162,980 : x
  2. Step 2: Convert to fraction form
    102,713/162,980 = 162,980/x
  3. Step 3: Cross multiply
    102,713x = 162,980 × 162,980
  4. Step 4: Simplify right side
    102,713x = 26,562,480,400
  5. Step 5: Solve for x
    x = 26,562,480,400/102,713
  6. Step 6: Final answer
    x = 258,608.75

Related Problems

Find third proportional to 51,356.50 and 81,490
Half scale
Find third proportional to 205,426 and 325,960
Double scale
Find third proportional to 102,715 and 162,983
Similar ratio
Find third proportional to 154,069.50 and 244,470
1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.59) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.