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Finding the Third Proportional to 409,518 and 647,537

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Solution

The third proportional to 409,518 and 647,537 is: 1,023,896.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    409,518 : 647,537 = 647,537 : x
  2. Step 2: Convert to fraction form
    409,518/647,537 = 647,537/x
  3. Step 3: Cross multiply
    409,518x = 647,537 × 647,537
  4. Step 4: Simplify right side
    409,518x = 419,304,166,369
  5. Step 5: Solve for x
    x = 419,304,166,369/409,518
  6. Step 6: Final answer
    x = 1,023,896.79

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Why These Related Problems?

These problems maintain the same ratio (1.58) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.