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Finding the Third Proportional to 108,450,156 and 165,216,424

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Solution

The third proportional to 108,450,156 and 165,216,424 is: 251,695,965.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    108,450,156 : 165,216,424 = 165,216,424 : x
  2. Step 2: Convert to fraction form
    108,450,156/165,216,424 = 165,216,424/x
  3. Step 3: Cross multiply
    108,450,156x = 165,216,424 × 165,216,424
  4. Step 4: Simplify right side
    108,450,156x = 27,296,466,759,347,776
  5. Step 5: Solve for x
    x = 27,296,466,759,347,776/108,450,156
  6. Step 6: Final answer
    x = 251,695,965.83

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Why These Related Problems?

These problems maintain the same ratio (1.52) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.