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Finding the Third Proportional to 485,359 and 734,825

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Solution

The third proportional to 485,359 and 734,825 is: 1,112,512.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    485,359 : 734,825 = 734,825 : x
  2. Step 2: Convert to fraction form
    485,359/734,825 = 734,825/x
  3. Step 3: Cross multiply
    485,359x = 734,825 × 734,825
  4. Step 4: Simplify right side
    485,359x = 539,967,780,625
  5. Step 5: Solve for x
    x = 539,967,780,625/485,359
  6. Step 6: Final answer
    x = 1,112,512.14

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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.