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Finding the Third Proportional to 81,157,149 and 165,148,641

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Solution

The third proportional to 81,157,149 and 165,148,641 is: 336,064,954.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    81,157,149 : 165,148,641 = 165,148,641 : x
  2. Step 2: Convert to fraction form
    81,157,149/165,148,641 = 165,148,641/x
  3. Step 3: Cross multiply
    81,157,149x = 165,148,641 × 165,148,641
  4. Step 4: Simplify right side
    81,157,149x = 27,274,073,624,146,880
  5. Step 5: Solve for x
    x = 27,274,073,624,146,880/81,157,149
  6. Step 6: Final answer
    x = 336,064,954.97

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Why These Related Problems?

These problems maintain the same ratio (2.03) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.