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Finding the Third Proportional to 641,000 and 928,428

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Solution

The third proportional to 641,000 and 928,428 is: 1,344,740.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    641,000 : 928,428 = 928,428 : x
  2. Step 2: Convert to fraction form
    641,000/928,428 = 928,428/x
  3. Step 3: Cross multiply
    641,000x = 928,428 × 928,428
  4. Step 4: Simplify right side
    641,000x = 861,978,551,184
  5. Step 5: Solve for x
    x = 861,978,551,184/641,000
  6. Step 6: Final answer
    x = 1,344,740.33

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Why These Related Problems?

These problems maintain the same ratio (1.45) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.