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Finding the Third Proportional to 425,547 and 647,163

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Solution

The third proportional to 425,547 and 647,163 is: 984,191.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    425,547 : 647,163 = 647,163 : x
  2. Step 2: Convert to fraction form
    425,547/647,163 = 647,163/x
  3. Step 3: Cross multiply
    425,547x = 647,163 × 647,163
  4. Step 4: Simplify right side
    425,547x = 418,819,948,569
  5. Step 5: Solve for x
    x = 418,819,948,569/425,547
  6. Step 6: Final answer
    x = 984,191.99

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Why These Related Problems?

These problems maintain the same ratio (1.52) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.