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Finding the Third Proportional to 129,151,960 and 198,782,976

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Solution

The third proportional to 129,151,960 and 198,782,976 is: 305,954,873.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    129,151,960 : 198,782,976 = 198,782,976 : x
  2. Step 2: Convert to fraction form
    129,151,960/198,782,976 = 198,782,976/x
  3. Step 3: Cross multiply
    129,151,960x = 198,782,976 × 198,782,976
  4. Step 4: Simplify right side
    129,151,960x = 39,514,671,547,416,576
  5. Step 5: Solve for x
    x = 39,514,671,547,416,576/129,151,960
  6. Step 6: Final answer
    x = 305,954,873.22

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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.