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Finding the Third Proportional to 121,795,825 and 287,416,349.50

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Solution

The third proportional to 121,795,825 and 287,416,349.50 is: 678,251,146.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    121,795,825 : 287,416,349.50 = 287,416,349.50 : x
  2. Step 2: Convert to fraction form
    121,795,825/287,416,349.50 = 287,416,349.50/x
  3. Step 3: Cross multiply
    121,795,825x = 287,416,349.50 × 287,416,349.50
  4. Step 4: Simplify right side
    121,795,825x = 82,608,157,959,906,144
  5. Step 5: Solve for x
    x = 82,608,157,959,906,144/121,795,825
  6. Step 6: Final answer
    x = 678,251,146.62

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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.