Home / 430.47-645.71

Finding the Third Proportional to 430.47 and 645.71

Calculator

Solution

The third proportional to 430.47 and 645.71 is: 968.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    430.47 : 645.71 = 645.71 : x
  2. Step 2: Convert to fraction form
    430.47/645.71 = 645.71/x
  3. Step 3: Cross multiply
    430.47x = 645.71 × 645.71
  4. Step 4: Simplify right side
    430.47x = 416,936.31
  5. Step 5: Solve for x
    x = 416,936.31/430.47
  6. Step 6: Final answer
    x = 968.56

Related Problems

Find third proportional to 215.24 and 322.85
Half scale
Find third proportional to 860.94 and 1,291.41
Double scale
Find third proportional to 432 and 649
Similar ratio
Find third proportional to 645.71 and 968.56
1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.