Home / 402.47-656.86

Finding the Third Proportional to 402.47 and 656.86

Calculator

Solution

The third proportional to 402.47 and 656.86 is: 1,072.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    402.47 : 656.86 = 656.86 : x
  2. Step 2: Convert to fraction form
    402.47/656.86 = 656.86/x
  3. Step 3: Cross multiply
    402.47x = 656.86 × 656.86
  4. Step 4: Simplify right side
    402.47x = 431,464.24
  5. Step 5: Solve for x
    x = 431,464.24/402.47
  6. Step 6: Final answer
    x = 1,072.04

Related Problems

Find third proportional to 201.23 and 328.43
Half scale
Find third proportional to 804.94 and 1,313.72
Double scale
Find third proportional to 404 and 660
Similar ratio
Find third proportional to 603.70 and 985.29
1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.63) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.