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Finding the Third Proportional to 78,177 and 121,127

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Solution

The third proportional to 78,177 and 121,127 is: 187,673.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    78,177 : 121,127 = 121,127 : x
  2. Step 2: Convert to fraction form
    78,177/121,127 = 121,127/x
  3. Step 3: Cross multiply
    78,177x = 121,127 × 121,127
  4. Step 4: Simplify right side
    78,177x = 14,671,750,129
  5. Step 5: Solve for x
    x = 14,671,750,129/78,177
  6. Step 6: Final answer
    x = 187,673.49

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.