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Finding the Third Proportional to 127,654 and 272,684

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Solution

The third proportional to 127,654 and 272,684 is: 582,485.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    127,654 : 272,684 = 272,684 : x
  2. Step 2: Convert to fraction form
    127,654/272,684 = 272,684/x
  3. Step 3: Cross multiply
    127,654x = 272,684 × 272,684
  4. Step 4: Simplify right side
    127,654x = 74,356,563,856
  5. Step 5: Solve for x
    x = 74,356,563,856/127,654
  6. Step 6: Final answer
    x = 582,485.19

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.