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Finding the Third Proportional to 272,306 and 380,883

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Solution

The third proportional to 272,306 and 380,883 is: 532,753.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    272,306 : 380,883 = 380,883 : x
  2. Step 2: Convert to fraction form
    272,306/380,883 = 380,883/x
  3. Step 3: Cross multiply
    272,306x = 380,883 × 380,883
  4. Step 4: Simplify right side
    272,306x = 145,071,859,689
  5. Step 5: Solve for x
    x = 145,071,859,689/272,306
  6. Step 6: Final answer
    x = 532,753.08

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Why These Related Problems?

These problems maintain the same ratio (1.40) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.