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Finding the Third Proportional to 121,795,840 and 287,416,380

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Solution

The third proportional to 121,795,840 and 287,416,380 is: 678,251,207.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    121,795,840 : 287,416,380 = 287,416,380 : x
  2. Step 2: Convert to fraction form
    121,795,840/287,416,380 = 287,416,380/x
  3. Step 3: Cross multiply
    121,795,840x = 287,416,380 × 287,416,380
  4. Step 4: Simplify right side
    121,795,840x = 82,608,175,492,304,400
  5. Step 5: Solve for x
    x = 82,608,175,492,304,400/121,795,840
  6. Step 6: Final answer
    x = 678,251,207.04

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Why These Related Problems?

These problems maintain the same ratio (2.36) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.