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Finding the Third Proportional to 653,960 and 878,820

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Solution

The third proportional to 653,960 and 878,820 is: 1,180,996.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    653,960 : 878,820 = 878,820 : x
  2. Step 2: Convert to fraction form
    653,960/878,820 = 878,820/x
  3. Step 3: Cross multiply
    653,960x = 878,820 × 878,820
  4. Step 4: Simplify right side
    653,960x = 772,324,592,400
  5. Step 5: Solve for x
    x = 772,324,592,400/653,960
  6. Step 6: Final answer
    x = 1,180,996.69

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Why These Related Problems?

These problems maintain the same ratio (1.34) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.