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Finding the Third Proportional to 61,282 and 90,771

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Solution

The third proportional to 61,282 and 90,771 is: 134,450.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    61,282 : 90,771 = 90,771 : x
  2. Step 2: Convert to fraction form
    61,282/90,771 = 90,771/x
  3. Step 3: Cross multiply
    61,282x = 90,771 × 90,771
  4. Step 4: Simplify right side
    61,282x = 8,239,374,441
  5. Step 5: Solve for x
    x = 8,239,374,441/61,282
  6. Step 6: Final answer
    x = 134,450.16

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Why These Related Problems?

These problems maintain the same ratio (1.48) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.