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Finding the Third Proportional to 71,566 and 130,697

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Solution

The third proportional to 71,566 and 130,697 is: 238,684.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    71,566 : 130,697 = 130,697 : x
  2. Step 2: Convert to fraction form
    71,566/130,697 = 130,697/x
  3. Step 3: Cross multiply
    71,566x = 130,697 × 130,697
  4. Step 4: Simplify right side
    71,566x = 17,081,705,809
  5. Step 5: Solve for x
    x = 17,081,705,809/71,566
  6. Step 6: Final answer
    x = 238,684.65

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Why These Related Problems?

These problems maintain the same ratio (1.83) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.