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Finding the Third Proportional to 61,288 and 84,397

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Solution

The third proportional to 61,288 and 84,397 is: 116,219.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    61,288 : 84,397 = 84,397 : x
  2. Step 2: Convert to fraction form
    61,288/84,397 = 84,397/x
  3. Step 3: Cross multiply
    61,288x = 84,397 × 84,397
  4. Step 4: Simplify right side
    61,288x = 7,122,853,609
  5. Step 5: Solve for x
    x = 7,122,853,609/61,288
  6. Step 6: Final answer
    x = 116,219.38

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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.