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Finding the Third Proportional to 278,725 and 420,699.75

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Solution

The third proportional to 278,725 and 420,699.75 is: 634,992.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    278,725 : 420,699.75 = 420,699.75 : x
  2. Step 2: Convert to fraction form
    278,725/420,699.75 = 420,699.75/x
  3. Step 3: Cross multiply
    278,725x = 420,699.75 × 420,699.75
  4. Step 4: Simplify right side
    278,725x = 176,988,279,650.06
  5. Step 5: Solve for x
    x = 176,988,279,650.06/278,725
  6. Step 6: Final answer
    x = 634,992.48

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.