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Finding the Third Proportional to 58,417 and 127,645

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Solution

The third proportional to 58,417 and 127,645 is: 278,912.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    58,417 : 127,645 = 127,645 : x
  2. Step 2: Convert to fraction form
    58,417/127,645 = 127,645/x
  3. Step 3: Cross multiply
    58,417x = 127,645 × 127,645
  4. Step 4: Simplify right side
    58,417x = 16,293,246,025
  5. Step 5: Solve for x
    x = 16,293,246,025/58,417
  6. Step 6: Final answer
    x = 278,912.75

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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.