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Finding the Third Proportional to 130,196 and 196,691

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Solution

The third proportional to 130,196 and 196,691 is: 297,146.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    130,196 : 196,691 = 196,691 : x
  2. Step 2: Convert to fraction form
    130,196/196,691 = 196,691/x
  3. Step 3: Cross multiply
    130,196x = 196,691 × 196,691
  4. Step 4: Simplify right side
    130,196x = 38,687,349,481
  5. Step 5: Solve for x
    x = 38,687,349,481/130,196
  6. Step 6: Final answer
    x = 297,146.99

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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.