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Finding the Third Proportional to 100,569 and 138,534

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Solution

The third proportional to 100,569 and 138,534 is: 190,830.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    100,569 : 138,534 = 138,534 : x
  2. Step 2: Convert to fraction form
    100,569/138,534 = 138,534/x
  3. Step 3: Cross multiply
    100,569x = 138,534 × 138,534
  4. Step 4: Simplify right side
    100,569x = 19,191,669,156
  5. Step 5: Solve for x
    x = 19,191,669,156/100,569
  6. Step 6: Final answer
    x = 190,830.86

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.