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Finding the Third Proportional to 280,344.38 and 423,432.56

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Solution

The third proportional to 280,344.38 and 423,432.56 is: 639,553.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    280,344.38 : 423,432.56 = 423,432.56 : x
  2. Step 2: Convert to fraction form
    280,344.38/423,432.56 = 423,432.56/x
  3. Step 3: Cross multiply
    280,344.38x = 423,432.56 × 423,432.56
  4. Step 4: Simplify right side
    280,344.38x = 179,295,134,985.32
  5. Step 5: Solve for x
    x = 179,295,134,985.32/280,344.38
  6. Step 6: Final answer
    x = 639,553.17

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.