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Finding the Third Proportional to 485,344 and 734,806

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Solution

The third proportional to 485,344 and 734,806 is: 1,112,488.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    485,344 : 734,806 = 734,806 : x
  2. Step 2: Convert to fraction form
    485,344/734,806 = 734,806/x
  3. Step 3: Cross multiply
    485,344x = 734,806 × 734,806
  4. Step 4: Simplify right side
    485,344x = 539,939,857,636
  5. Step 5: Solve for x
    x = 539,939,857,636/485,344
  6. Step 6: Final answer
    x = 1,112,488.99

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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.