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Finding the Third Proportional to 129,204,249 and 198,596,272.50

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Solution

The third proportional to 129,204,249 and 198,596,272.50 is: 305,256,829.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    129,204,249 : 198,596,272.50 = 198,596,272.50 : x
  2. Step 2: Convert to fraction form
    129,204,249/198,596,272.50 = 198,596,272.50/x
  3. Step 3: Cross multiply
    129,204,249x = 198,596,272.50 × 198,596,272.50
  4. Step 4: Simplify right side
    129,204,249x = 39,440,479,450,894,256
  5. Step 5: Solve for x
    x = 39,440,479,450,894,256/129,204,249
  6. Step 6: Final answer
    x = 305,256,829.83

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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.