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Finding the Third Proportional to 99,897 and 140,523

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Solution

The third proportional to 99,897 and 140,523 is: 197,670.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    99,897 : 140,523 = 140,523 : x
  2. Step 2: Convert to fraction form
    99,897/140,523 = 140,523/x
  3. Step 3: Cross multiply
    99,897x = 140,523 × 140,523
  4. Step 4: Simplify right side
    99,897x = 19,746,713,529
  5. Step 5: Solve for x
    x = 19,746,713,529/99,897
  6. Step 6: Final answer
    x = 197,670.74

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Why These Related Problems?

These problems maintain the same ratio (1.41) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.