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Finding the Third Proportional to 61,678 and 88,135

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Solution

The third proportional to 61,678 and 88,135 is: 125,940.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    61,678 : 88,135 = 88,135 : x
  2. Step 2: Convert to fraction form
    61,678/88,135 = 88,135/x
  3. Step 3: Cross multiply
    61,678x = 88,135 × 88,135
  4. Step 4: Simplify right side
    61,678x = 7,767,778,225
  5. Step 5: Solve for x
    x = 7,767,778,225/61,678
  6. Step 6: Final answer
    x = 125,940.83

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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.