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Finding the Third Proportional to 61,854 and 89,351

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Solution

The third proportional to 61,854 and 89,351 is: 129,071.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    61,854 : 89,351 = 89,351 : x
  2. Step 2: Convert to fraction form
    61,854/89,351 = 89,351/x
  3. Step 3: Cross multiply
    61,854x = 89,351 × 89,351
  4. Step 4: Simplify right side
    61,854x = 7,983,601,201
  5. Step 5: Solve for x
    x = 7,983,601,201/61,854
  6. Step 6: Final answer
    x = 129,071.70

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Why These Related Problems?

These problems maintain the same ratio (1.44) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.