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Finding the Third Proportional to 498,396 and 745,530

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Solution

The third proportional to 498,396 and 745,530 is: 1,115,207.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    498,396 : 745,530 = 745,530 : x
  2. Step 2: Convert to fraction form
    498,396/745,530 = 745,530/x
  3. Step 3: Cross multiply
    498,396x = 745,530 × 745,530
  4. Step 4: Simplify right side
    498,396x = 555,814,980,900
  5. Step 5: Solve for x
    x = 555,814,980,900/498,396
  6. Step 6: Final answer
    x = 1,115,207.55

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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.