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Finding the Third Proportional to 129,204,253 and 198,596,278

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Solution

The third proportional to 129,204,253 and 198,596,278 is: 305,256,837.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    129,204,253 : 198,596,278 = 198,596,278 : x
  2. Step 2: Convert to fraction form
    129,204,253/198,596,278 = 198,596,278/x
  3. Step 3: Cross multiply
    129,204,253x = 198,596,278 × 198,596,278
  4. Step 4: Simplify right side
    129,204,253x = 39,440,481,635,453,280
  5. Step 5: Solve for x
    x = 39,440,481,635,453,280/129,204,253
  6. Step 6: Final answer
    x = 305,256,837.29

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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.