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Finding the Third Proportional to 434,569 and 664,814

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Solution

The third proportional to 434,569 and 664,814 is: 1,017,048.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    434,569 : 664,814 = 664,814 : x
  2. Step 2: Convert to fraction form
    434,569/664,814 = 664,814/x
  3. Step 3: Cross multiply
    434,569x = 664,814 × 664,814
  4. Step 4: Simplify right side
    434,569x = 441,977,654,596
  5. Step 5: Solve for x
    x = 441,977,654,596/434,569
  6. Step 6: Final answer
    x = 1,017,048.28

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Why These Related Problems?

These problems maintain the same ratio (1.53) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.