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Finding the Third Proportional to 418,466 and 537,299

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Solution

The third proportional to 418,466 and 537,299 is: 689,877.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    418,466 : 537,299 = 537,299 : x
  2. Step 2: Convert to fraction form
    418,466/537,299 = 537,299/x
  3. Step 3: Cross multiply
    418,466x = 537,299 × 537,299
  4. Step 4: Simplify right side
    418,466x = 288,690,215,401
  5. Step 5: Solve for x
    x = 288,690,215,401/418,466
  6. Step 6: Final answer
    x = 689,877.35

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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.