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Finding the Third Proportional to 485,348 and 734,811

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Solution

The third proportional to 485,348 and 734,811 is: 1,112,494.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    485,348 : 734,811 = 734,811 : x
  2. Step 2: Convert to fraction form
    485,348/734,811 = 734,811/x
  3. Step 3: Cross multiply
    485,348x = 734,811 × 734,811
  4. Step 4: Simplify right side
    485,348x = 539,947,205,721
  5. Step 5: Solve for x
    x = 539,947,205,721/485,348
  6. Step 6: Final answer
    x = 1,112,494.96

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Why These Related Problems?

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