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Finding the Third Proportional to 96,250,380 and 200,432,280

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Solution

The third proportional to 96,250,380 and 200,432,280 is: 417,381,197.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    96,250,380 : 200,432,280 = 200,432,280 : x
  2. Step 2: Convert to fraction form
    96,250,380/200,432,280 = 200,432,280/x
  3. Step 3: Cross multiply
    96,250,380x = 200,432,280 × 200,432,280
  4. Step 4: Simplify right side
    96,250,380x = 40,173,098,865,998,400
  5. Step 5: Solve for x
    x = 40,173,098,865,998,400/96,250,380
  6. Step 6: Final answer
    x = 417,381,197.52

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Why These Related Problems?

These problems maintain the same ratio (2.08) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.