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Finding the Third Proportional to 56,326 and 87,721

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Solution

The third proportional to 56,326 and 87,721 is: 136,614.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    56,326 : 87,721 = 87,721 : x
  2. Step 2: Convert to fraction form
    56,326/87,721 = 87,721/x
  3. Step 3: Cross multiply
    56,326x = 87,721 × 87,721
  4. Step 4: Simplify right side
    56,326x = 7,694,973,841
  5. Step 5: Solve for x
    x = 7,694,973,841/56,326
  6. Step 6: Final answer
    x = 136,614.95

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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.