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Finding the Third Proportional to 127,120 and 186,429

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Solution

The third proportional to 127,120 and 186,429 is: 273,409.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    127,120 : 186,429 = 186,429 : x
  2. Step 2: Convert to fraction form
    127,120/186,429 = 186,429/x
  3. Step 3: Cross multiply
    127,120x = 186,429 × 186,429
  4. Step 4: Simplify right side
    127,120x = 34,755,772,041
  5. Step 5: Solve for x
    x = 34,755,772,041/127,120
  6. Step 6: Final answer
    x = 273,409.16

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Why These Related Problems?

These problems maintain the same ratio (1.47) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.