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Finding the Third Proportional to 66,709 and 103,890

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Solution

The third proportional to 66,709 and 103,890 is: 161,794.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    66,709 : 103,890 = 103,890 : x
  2. Step 2: Convert to fraction form
    66,709/103,890 = 103,890/x
  3. Step 3: Cross multiply
    66,709x = 103,890 × 103,890
  4. Step 4: Simplify right side
    66,709x = 10,793,132,100
  5. Step 5: Solve for x
    x = 10,793,132,100/66,709
  6. Step 6: Final answer
    x = 161,794.24

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Why These Related Problems?

These problems maintain the same ratio (1.56) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.