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Finding the Third Proportional to 395,115,810 and 878,573,273

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Solution

The third proportional to 395,115,810 and 878,573,273 is: 1,953,581,649.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    395,115,810 : 878,573,273 = 878,573,273 : x
  2. Step 2: Convert to fraction form
    395,115,810/878,573,273 = 878,573,273/x
  3. Step 3: Cross multiply
    395,115,810x = 878,573,273 × 878,573,273
  4. Step 4: Simplify right side
    395,115,810x = 771,890,996,029,932,544
  5. Step 5: Solve for x
    x = 771,890,996,029,932,544/395,115,810
  6. Step 6: Final answer
    x = 1,953,581,649.97

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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.