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Finding the Third Proportional to 66,390 and 101,609

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Solution

The third proportional to 66,390 and 101,609 is: 155,511.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    66,390 : 101,609 = 101,609 : x
  2. Step 2: Convert to fraction form
    66,390/101,609 = 101,609/x
  3. Step 3: Cross multiply
    66,390x = 101,609 × 101,609
  4. Step 4: Simplify right side
    66,390x = 10,324,388,881
  5. Step 5: Solve for x
    x = 10,324,388,881/66,390
  6. Step 6: Final answer
    x = 155,511.20

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Why These Related Problems?

These problems maintain the same ratio (1.53) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.