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Finding the Third Proportional to 278,644 and 442,828

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Solution

The third proportional to 278,644 and 442,828 is: 703,753.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    278,644 : 442,828 = 442,828 : x
  2. Step 2: Convert to fraction form
    278,644/442,828 = 442,828/x
  3. Step 3: Cross multiply
    278,644x = 442,828 × 442,828
  4. Step 4: Simplify right side
    278,644x = 196,096,637,584
  5. Step 5: Solve for x
    x = 196,096,637,584/278,644
  6. Step 6: Final answer
    x = 703,753.31

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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.