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Finding the Third Proportional to 418,446 and 537,273

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Solution

The third proportional to 418,446 and 537,273 is: 689,843.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    418,446 : 537,273 = 537,273 : x
  2. Step 2: Convert to fraction form
    418,446/537,273 = 537,273/x
  3. Step 3: Cross multiply
    418,446x = 537,273 × 537,273
  4. Step 4: Simplify right side
    418,446x = 288,662,276,529
  5. Step 5: Solve for x
    x = 288,662,276,529/418,446
  6. Step 6: Final answer
    x = 689,843.56

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Why These Related Problems?

These problems maintain the same ratio (1.28) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.