Home / 315,142-472,941

Finding the Third Proportional to 315,142 and 472,941

Calculator

Solution

The third proportional to 315,142 and 472,941 is: 709,753.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    315,142 : 472,941 = 472,941 : x
  2. Step 2: Convert to fraction form
    315,142/472,941 = 472,941/x
  3. Step 3: Cross multiply
    315,142x = 472,941 × 472,941
  4. Step 4: Simplify right side
    315,142x = 223,673,189,481
  5. Step 5: Solve for x
    x = 223,673,189,481/315,142
  6. Step 6: Final answer
    x = 709,753.66

Related Problems

Find third proportional to 157,571 and 236,470.50
Half scale
Find third proportional to 630,284 and 945,882
Double scale
Find third proportional to 315,144 and 472,944
Similar ratio
Find third proportional to 472,713 and 709,411.50
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.