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Finding the Third Proportional to 288,694 and 415,850

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Solution

The third proportional to 288,694 and 415,850 is: 599,012.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    288,694 : 415,850 = 415,850 : x
  2. Step 2: Convert to fraction form
    288,694/415,850 = 415,850/x
  3. Step 3: Cross multiply
    288,694x = 415,850 × 415,850
  4. Step 4: Simplify right side
    288,694x = 172,931,222,500
  5. Step 5: Solve for x
    x = 172,931,222,500/288,694
  6. Step 6: Final answer
    x = 599,012.18

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These problems maintain the same ratio (1.44) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.