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Finding the Third Proportional to 395,115,813 and 878,573,283

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Solution

The third proportional to 395,115,813 and 878,573,283 is: 1,953,581,679.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    395,115,813 : 878,573,283 = 878,573,283 : x
  2. Step 2: Convert to fraction form
    395,115,813/878,573,283 = 878,573,283/x
  3. Step 3: Cross multiply
    395,115,813x = 878,573,283 × 878,573,283
  4. Step 4: Simplify right side
    395,115,813x = 771,891,013,601,398,144
  5. Step 5: Solve for x
    x = 771,891,013,601,398,144/395,115,813
  6. Step 6: Final answer
    x = 1,953,581,679.61

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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.