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Finding the Third Proportional to 395,115,821.81 and 878,573,301.38

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Solution

The third proportional to 395,115,821.81 and 878,573,301.38 is: 1,953,581,717.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    395,115,821.81 : 878,573,301.38 = 878,573,301.38 : x
  2. Step 2: Convert to fraction form
    395,115,821.81/878,573,301.38 = 878,573,301.38/x
  3. Step 3: Cross multiply
    395,115,821.81x = 878,573,301.38 × 878,573,301.38
  4. Step 4: Simplify right side
    395,115,821.81x = 771,891,045,888,966,528
  5. Step 5: Solve for x
    x = 771,891,045,888,966,528/395,115,821.81
  6. Step 6: Final answer
    x = 1,953,581,717.76

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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.