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Finding the Third Proportional to 552,639 and 878,782

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Solution

The third proportional to 552,639 and 878,782 is: 1,397,400.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    552,639 : 878,782 = 878,782 : x
  2. Step 2: Convert to fraction form
    552,639/878,782 = 878,782/x
  3. Step 3: Cross multiply
    552,639x = 878,782 × 878,782
  4. Step 4: Simplify right side
    552,639x = 772,257,803,524
  5. Step 5: Solve for x
    x = 772,257,803,524/552,639
  6. Step 6: Final answer
    x = 1,397,400.12

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Why These Related Problems?

These problems maintain the same ratio (1.59) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.