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Finding the Third Proportional to 168,829 and 398,528

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Solution

The third proportional to 168,829 and 398,528 is: 940,742.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    168,829 : 398,528 = 398,528 : x
  2. Step 2: Convert to fraction form
    168,829/398,528 = 398,528/x
  3. Step 3: Cross multiply
    168,829x = 398,528 × 398,528
  4. Step 4: Simplify right side
    168,829x = 158,824,566,784
  5. Step 5: Solve for x
    x = 158,824,566,784/168,829
  6. Step 6: Final answer
    x = 940,742.21

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Why These Related Problems?

These problems maintain the same ratio (2.36) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.