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Finding the Third Proportional to 278,641.88 and 442,823.63

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Solution

The third proportional to 278,641.88 and 442,823.63 is: 703,744.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    278,641.88 : 442,823.63 = 442,823.63 : x
  2. Step 2: Convert to fraction form
    278,641.88/442,823.63 = 442,823.63/x
  3. Step 3: Cross multiply
    278,641.88x = 442,823.63 × 442,823.63
  4. Step 4: Simplify right side
    278,641.88x = 196,092,762,858.14
  5. Step 5: Solve for x
    x = 196,092,762,858.14/278,641.88
  6. Step 6: Final answer
    x = 703,744.77

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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.