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Finding the Third Proportional to 498,368 and 747,396

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Solution

The third proportional to 498,368 and 747,396 is: 1,120,860.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    498,368 : 747,396 = 747,396 : x
  2. Step 2: Convert to fraction form
    498,368/747,396 = 747,396/x
  3. Step 3: Cross multiply
    498,368x = 747,396 × 747,396
  4. Step 4: Simplify right side
    498,368x = 558,600,780,816
  5. Step 5: Solve for x
    x = 558,600,780,816/498,368
  6. Step 6: Final answer
    x = 1,120,860.05

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.