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Finding the Third Proportional to 498,444 and 783,378

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Solution

The third proportional to 498,444 and 783,378 is: 1,231,193.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    498,444 : 783,378 = 783,378 : x
  2. Step 2: Convert to fraction form
    498,444/783,378 = 783,378/x
  3. Step 3: Cross multiply
    498,444x = 783,378 × 783,378
  4. Step 4: Simplify right side
    498,444x = 613,681,090,884
  5. Step 5: Solve for x
    x = 613,681,090,884/498,444
  6. Step 6: Final answer
    x = 1,231,193.66

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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.