Home / 199.50-460

Finding the Third Proportional to 199.50 and 460

Calculator

Solution

The third proportional to 199.50 and 460 is: 1,060.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    199.50 : 460 = 460 : x
  2. Step 2: Convert to fraction form
    199.50/460 = 460/x
  3. Step 3: Cross multiply
    199.50x = 460 × 460
  4. Step 4: Simplify right side
    199.50x = 211,600
  5. Step 5: Solve for x
    x = 211,600/199.50
  6. Step 6: Final answer
    x = 1,060.65

Related Problems

Find third proportional to 99.75 and 230
Half scale
Find third proportional to 399 and 920
Double scale
Find third proportional to 202 and 465
Similar ratio
Find third proportional to 299.25 and 690
1.5x scale

Why These Related Problems?

These problems maintain the same ratio (2.31) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.