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Finding the Third Proportional to 100,569 and 138,534.38

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Solution

The third proportional to 100,569 and 138,534.38 is: 190,831.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    100,569 : 138,534.38 = 138,534.38 : x
  2. Step 2: Convert to fraction form
    100,569/138,534.38 = 138,534.38/x
  3. Step 3: Cross multiply
    100,569x = 138,534.38 × 138,534.38
  4. Step 4: Simplify right side
    100,569x = 19,191,773,056.64
  5. Step 5: Solve for x
    x = 19,191,773,056.64/100,569
  6. Step 6: Final answer
    x = 190,831.90

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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.