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Finding the Third Proportional to 130,888 and 207,591

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Solution

The third proportional to 130,888 and 207,591 is: 329,243.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    130,888 : 207,591 = 207,591 : x
  2. Step 2: Convert to fraction form
    130,888/207,591 = 207,591/x
  3. Step 3: Cross multiply
    130,888x = 207,591 × 207,591
  4. Step 4: Simplify right side
    130,888x = 43,094,023,281
  5. Step 5: Solve for x
    x = 43,094,023,281/130,888
  6. Step 6: Final answer
    x = 329,243.50

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Why These Related Problems?

These problems maintain the same ratio (1.59) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.