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Finding the Third Proportional to 54,658 and 86,911

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Solution

The third proportional to 54,658 and 86,911 is: 138,196.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    54,658 : 86,911 = 86,911 : x
  2. Step 2: Convert to fraction form
    54,658/86,911 = 86,911/x
  3. Step 3: Cross multiply
    54,658x = 86,911 × 86,911
  4. Step 4: Simplify right side
    54,658x = 7,553,521,921
  5. Step 5: Solve for x
    x = 7,553,521,921/54,658
  6. Step 6: Final answer
    x = 138,196.09

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Why These Related Problems?

These problems maintain the same ratio (1.59) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.