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Finding the Third Proportional to 498,244 and 783,078

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Solution

The third proportional to 498,244 and 783,078 is: 1,230,744.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    498,244 : 783,078 = 783,078 : x
  2. Step 2: Convert to fraction form
    498,244/783,078 = 783,078/x
  3. Step 3: Cross multiply
    498,244x = 783,078 × 783,078
  4. Step 4: Simplify right side
    498,244x = 613,211,154,084
  5. Step 5: Solve for x
    x = 613,211,154,084/498,244
  6. Step 6: Final answer
    x = 1,230,744.68

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Why These Related Problems?

These problems maintain the same ratio (1.57) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.