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Finding the Third Proportional to 129,151,966 and 198,782,985

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Solution

The third proportional to 129,151,966 and 198,782,985 is: 305,954,886.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    129,151,966 : 198,782,985 = 198,782,985 : x
  2. Step 2: Convert to fraction form
    129,151,966/198,782,985 = 198,782,985/x
  3. Step 3: Cross multiply
    129,151,966x = 198,782,985 × 198,782,985
  4. Step 4: Simplify right side
    129,151,966x = 39,514,675,125,510,224
  5. Step 5: Solve for x
    x = 39,514,675,125,510,224/129,151,966
  6. Step 6: Final answer
    x = 305,954,886.71

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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.