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Finding the Third Proportional to 58,414 and 127,640

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Solution

The third proportional to 58,414 and 127,640 is: 278,905.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    58,414 : 127,640 = 127,640 : x
  2. Step 2: Convert to fraction form
    58,414/127,640 = 127,640/x
  3. Step 3: Cross multiply
    58,414x = 127,640 × 127,640
  4. Step 4: Simplify right side
    58,414x = 16,291,969,600
  5. Step 5: Solve for x
    x = 16,291,969,600/58,414
  6. Step 6: Final answer
    x = 278,905.22

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.