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Finding the Third Proportional to 428,860.50 and 914,720

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Solution

The third proportional to 428,860.50 and 914,720 is: 1,951,013.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    428,860.50 : 914,720 = 914,720 : x
  2. Step 2: Convert to fraction form
    428,860.50/914,720 = 914,720/x
  3. Step 3: Cross multiply
    428,860.50x = 914,720 × 914,720
  4. Step 4: Simplify right side
    428,860.50x = 836,712,678,400
  5. Step 5: Solve for x
    x = 836,712,678,400/428,860.50
  6. Step 6: Final answer
    x = 1,951,013.62

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Why These Related Problems?

These problems maintain the same ratio (2.13) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.