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Finding the Third Proportional to 129,205,280 and 193,902,416

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Solution

The third proportional to 129,205,280 and 193,902,416 is: 290,995,437.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    129,205,280 : 193,902,416 = 193,902,416 : x
  2. Step 2: Convert to fraction form
    129,205,280/193,902,416 = 193,902,416/x
  3. Step 3: Cross multiply
    129,205,280x = 193,902,416 × 193,902,416
  4. Step 4: Simplify right side
    129,205,280x = 37,598,146,930,637,056
  5. Step 5: Solve for x
    x = 37,598,146,930,637,056/129,205,280
  6. Step 6: Final answer
    x = 290,995,437.11

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.