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Finding the Third Proportional to 389,797,684 and 866,747,982

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Solution

The third proportional to 389,797,684 and 866,747,982 is: 1,927,287,141.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    389,797,684 : 866,747,982 = 866,747,982 : x
  2. Step 2: Convert to fraction form
    389,797,684/866,747,982 = 866,747,982/x
  3. Step 3: Cross multiply
    389,797,684x = 866,747,982 × 866,747,982
  4. Step 4: Simplify right side
    389,797,684x = 751,252,064,301,072,384
  5. Step 5: Solve for x
    x = 751,252,064,301,072,384/389,797,684
  6. Step 6: Final answer
    x = 1,927,287,141.86

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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.