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Finding the Third Proportional to 90,711 and 197,487

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Solution

The third proportional to 90,711 and 197,487 is: 429,949.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    90,711 : 197,487 = 197,487 : x
  2. Step 2: Convert to fraction form
    90,711/197,487 = 197,487/x
  3. Step 3: Cross multiply
    90,711x = 197,487 × 197,487
  4. Step 4: Simplify right side
    90,711x = 39,001,115,169
  5. Step 5: Solve for x
    x = 39,001,115,169/90,711
  6. Step 6: Final answer
    x = 429,949.13

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.