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Finding the Third Proportional to 445,304 and 689,604

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Solution

The third proportional to 445,304 and 689,604 is: 1,067,930.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    445,304 : 689,604 = 689,604 : x
  2. Step 2: Convert to fraction form
    445,304/689,604 = 689,604/x
  3. Step 3: Cross multiply
    445,304x = 689,604 × 689,604
  4. Step 4: Simplify right side
    445,304x = 475,553,676,816
  5. Step 5: Solve for x
    x = 475,553,676,816/445,304
  6. Step 6: Final answer
    x = 1,067,930.40

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.