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Finding the Third Proportional to 302,376 and 645,552

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Solution

The third proportional to 302,376 and 645,552 is: 1,378,209.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    302,376 : 645,552 = 645,552 : x
  2. Step 2: Convert to fraction form
    302,376/645,552 = 645,552/x
  3. Step 3: Cross multiply
    302,376x = 645,552 × 645,552
  4. Step 4: Simplify right side
    302,376x = 416,737,384,704
  5. Step 5: Solve for x
    x = 416,737,384,704/302,376
  6. Step 6: Final answer
    x = 1,378,209.20

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Why These Related Problems?

These problems maintain the same ratio (2.13) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.