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Finding the Third Proportional to 272,349 and 392,877

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Solution

The third proportional to 272,349 and 392,877 is: 566,744.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    272,349 : 392,877 = 392,877 : x
  2. Step 2: Convert to fraction form
    272,349/392,877 = 392,877/x
  3. Step 3: Cross multiply
    272,349x = 392,877 × 392,877
  4. Step 4: Simplify right side
    272,349x = 154,352,337,129
  5. Step 5: Solve for x
    x = 154,352,337,129/272,349
  6. Step 6: Final answer
    x = 566,744.64

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Why These Related Problems?

These problems maintain the same ratio (1.44) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.