Home / 432.56-657.14

Finding the Third Proportional to 432.56 and 657.14

Calculator

Solution

The third proportional to 432.56 and 657.14 is: 998.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    432.56 : 657.14 = 657.14 : x
  2. Step 2: Convert to fraction form
    432.56/657.14 = 657.14/x
  3. Step 3: Cross multiply
    432.56x = 657.14 × 657.14
  4. Step 4: Simplify right side
    432.56x = 431,833.80
  5. Step 5: Solve for x
    x = 431,833.80/432.56
  6. Step 6: Final answer
    x = 998.32

Related Problems

Find third proportional to 216.28 and 328.57
Half scale
Find third proportional to 865.13 and 1,314.28
Double scale
Find third proportional to 435 and 660
Similar ratio
Find third proportional to 648.84 and 985.71
1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.52) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.