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Finding the Third Proportional to 395,115,812 and 878,573,277

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Solution

The third proportional to 395,115,812 and 878,573,277 is: 1,953,581,657.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    395,115,812 : 878,573,277 = 878,573,277 : x
  2. Step 2: Convert to fraction form
    395,115,812/878,573,277 = 878,573,277/x
  3. Step 3: Cross multiply
    395,115,812x = 878,573,277 × 878,573,277
  4. Step 4: Simplify right side
    395,115,812x = 771,891,003,058,518,784
  5. Step 5: Solve for x
    x = 771,891,003,058,518,784/395,115,812
  6. Step 6: Final answer
    x = 1,953,581,657.87

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Why These Related Problems?

These problems maintain the same ratio (2.22) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.