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Finding the Third Proportional to 393,574,815 and 861,063,210

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Solution

The third proportional to 393,574,815 and 861,063,210 is: 1,883,834,593.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    393,574,815 : 861,063,210 = 861,063,210 : x
  2. Step 2: Convert to fraction form
    393,574,815/861,063,210 = 861,063,210/x
  3. Step 3: Cross multiply
    393,574,815x = 861,063,210 × 861,063,210
  4. Step 4: Simplify right side
    393,574,815x = 741,429,851,615,504,128
  5. Step 5: Solve for x
    x = 741,429,851,615,504,128/393,574,815
  6. Step 6: Final answer
    x = 1,883,834,593.47

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.