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Finding the Third Proportional to 129,151,964 and 198,782,982

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Solution

The third proportional to 129,151,964 and 198,782,982 is: 305,954,882.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    129,151,964 : 198,782,982 = 198,782,982 : x
  2. Step 2: Convert to fraction form
    129,151,964/198,782,982 = 198,782,982/x
  3. Step 3: Cross multiply
    129,151,964x = 198,782,982 × 198,782,982
  4. Step 4: Simplify right side
    129,151,964x = 39,514,673,932,812,320
  5. Step 5: Solve for x
    x = 39,514,673,932,812,320/129,151,964
  6. Step 6: Final answer
    x = 305,954,882.21

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Why These Related Problems?

These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.