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Finding the Third Proportional to 131,070 and 197,691

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Solution

The third proportional to 131,070 and 197,691 is: 298,174.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    131,070 : 197,691 = 197,691 : x
  2. Step 2: Convert to fraction form
    131,070/197,691 = 197,691/x
  3. Step 3: Cross multiply
    131,070x = 197,691 × 197,691
  4. Step 4: Simplify right side
    131,070x = 39,081,731,481
  5. Step 5: Solve for x
    x = 39,081,731,481/131,070
  6. Step 6: Final answer
    x = 298,174.50

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.