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Finding the Third Proportional to 498,393 and 752,773.50

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Solution

The third proportional to 498,393 and 752,773.50 is: 1,136,990.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    498,393 : 752,773.50 = 752,773.50 : x
  2. Step 2: Convert to fraction form
    498,393/752,773.50 = 752,773.50/x
  3. Step 3: Cross multiply
    498,393x = 752,773.50 × 752,773.50
  4. Step 4: Simplify right side
    498,393x = 566,667,942,302.25
  5. Step 5: Solve for x
    x = 566,667,942,302.25/498,393
  6. Step 6: Final answer
    x = 1,136,990.17

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