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Finding the Third Proportional to 272,349 and 420,009

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Solution

The third proportional to 272,349 and 420,009 is: 647,726.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    272,349 : 420,009 = 420,009 : x
  2. Step 2: Convert to fraction form
    272,349/420,009 = 420,009/x
  3. Step 3: Cross multiply
    272,349x = 420,009 × 420,009
  4. Step 4: Simplify right side
    272,349x = 176,407,560,081
  5. Step 5: Solve for x
    x = 176,407,560,081/272,349
  6. Step 6: Final answer
    x = 647,726.12

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Why These Related Problems?

These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.