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Finding the Third Proportional to 19,128 and 29,691

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Solution

The third proportional to 19,128 and 29,691 is: 46,087.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    19,128 : 29,691 = 29,691 : x
  2. Step 2: Convert to fraction form
    19,128/29,691 = 29,691/x
  3. Step 3: Cross multiply
    19,128x = 29,691 × 29,691
  4. Step 4: Simplify right side
    19,128x = 881,555,481
  5. Step 5: Solve for x
    x = 881,555,481/19,128
  6. Step 6: Final answer
    x = 46,087.17

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.