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Finding the Third Proportional to 278,761.50 and 397,345.50

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Solution

The third proportional to 278,761.50 and 397,345.50 is: 566,374.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    278,761.50 : 397,345.50 = 397,345.50 : x
  2. Step 2: Convert to fraction form
    278,761.50/397,345.50 = 397,345.50/x
  3. Step 3: Cross multiply
    278,761.50x = 397,345.50 × 397,345.50
  4. Step 4: Simplify right side
    278,761.50x = 157,883,446,370.25
  5. Step 5: Solve for x
    x = 157,883,446,370.25/278,761.50
  6. Step 6: Final answer
    x = 566,374.65

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Why These Related Problems?

These problems maintain the same ratio (1.43) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.