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Finding the Third Proportional to 47,982,555 and 103,610,718

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Solution

The third proportional to 47,982,555 and 103,610,718 is: 223,730,913.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    47,982,555 : 103,610,718 = 103,610,718 : x
  2. Step 2: Convert to fraction form
    47,982,555/103,610,718 = 103,610,718/x
  3. Step 3: Cross multiply
    47,982,555x = 103,610,718 × 103,610,718
  4. Step 4: Simplify right side
    47,982,555x = 10,735,180,884,475,524
  5. Step 5: Solve for x
    x = 10,735,180,884,475,524/47,982,555
  6. Step 6: Final answer
    x = 223,730,913.96

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.