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Finding the Third Proportional to 274,806 and 437,143

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Solution

The third proportional to 274,806 and 437,143 is: 695,377.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    274,806 : 437,143 = 437,143 : x
  2. Step 2: Convert to fraction form
    274,806/437,143 = 437,143/x
  3. Step 3: Cross multiply
    274,806x = 437,143 × 437,143
  4. Step 4: Simplify right side
    274,806x = 191,094,002,449
  5. Step 5: Solve for x
    x = 191,094,002,449/274,806
  6. Step 6: Final answer
    x = 695,377.84

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Why These Related Problems?

These problems maintain the same ratio (1.59) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.