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Finding the Third Proportional to 272,874 and 559,272

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Solution

The third proportional to 272,874 and 559,272 is: 1,146,262.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    272,874 : 559,272 = 559,272 : x
  2. Step 2: Convert to fraction form
    272,874/559,272 = 559,272/x
  3. Step 3: Cross multiply
    272,874x = 559,272 × 559,272
  4. Step 4: Simplify right side
    272,874x = 312,785,169,984
  5. Step 5: Solve for x
    x = 312,785,169,984/272,874
  6. Step 6: Final answer
    x = 1,146,262.27

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Why These Related Problems?

These problems maintain the same ratio (2.05) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.