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Finding the Third Proportional to 121,795,828.88 and 287,416,360.13

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Solution

The third proportional to 121,795,828.88 and 287,416,360.13 is: 678,251,175.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    121,795,828.88 : 287,416,360.13 = 287,416,360.13 : x
  2. Step 2: Convert to fraction form
    121,795,828.88/287,416,360.13 = 287,416,360.13/x
  3. Step 3: Cross multiply
    121,795,828.88x = 287,416,360.13 × 287,416,360.13
  4. Step 4: Simplify right side
    121,795,828.88x = 82,608,164,067,503,696
  5. Step 5: Solve for x
    x = 82,608,164,067,503,696/121,795,828.88
  6. Step 6: Final answer
    x = 678,251,175.19

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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.