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Finding the Third Proportional to 129,204,256 and 198,596,283

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Solution

The third proportional to 129,204,256 and 198,596,283 is: 305,256,845.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    129,204,256 : 198,596,283 = 198,596,283 : x
  2. Step 2: Convert to fraction form
    129,204,256/198,596,283 = 198,596,283/x
  3. Step 3: Cross multiply
    129,204,256x = 198,596,283 × 198,596,283
  4. Step 4: Simplify right side
    129,204,256x = 39,440,483,621,416,088
  5. Step 5: Solve for x
    x = 39,440,483,621,416,088/129,204,256
  6. Step 6: Final answer
    x = 305,256,845.57

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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.