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Finding the Third Proportional to 278,643 and 461,007

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Solution

The third proportional to 278,643 and 461,007 is: 762,723.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    278,643 : 461,007 = 461,007 : x
  2. Step 2: Convert to fraction form
    278,643/461,007 = 461,007/x
  3. Step 3: Cross multiply
    278,643x = 461,007 × 461,007
  4. Step 4: Simplify right side
    278,643x = 212,527,454,049
  5. Step 5: Solve for x
    x = 212,527,454,049/278,643
  6. Step 6: Final answer
    x = 762,723.10

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Why These Related Problems?

These problems maintain the same ratio (1.65) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.