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Finding the Third Proportional to 61,564 and 87,918

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Solution

The third proportional to 61,564 and 87,918 is: 125,553.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    61,564 : 87,918 = 87,918 : x
  2. Step 2: Convert to fraction form
    61,564/87,918 = 87,918/x
  3. Step 3: Cross multiply
    61,564x = 87,918 × 87,918
  4. Step 4: Simplify right side
    61,564x = 7,729,574,724
  5. Step 5: Solve for x
    x = 7,729,574,724/61,564
  6. Step 6: Final answer
    x = 125,553.48

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Why These Related Problems?

These problems maintain the same ratio (1.43) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.