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Finding the Third Proportional to 680,625 and 860,145.75

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Solution

The third proportional to 680,625 and 860,145.75 is: 1,087,016.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    680,625 : 860,145.75 = 860,145.75 : x
  2. Step 2: Convert to fraction form
    680,625/860,145.75 = 860,145.75/x
  3. Step 3: Cross multiply
    680,625x = 860,145.75 × 860,145.75
  4. Step 4: Simplify right side
    680,625x = 739,850,711,243.06
  5. Step 5: Solve for x
    x = 739,850,711,243.06/680,625
  6. Step 6: Final answer
    x = 1,087,016.66

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Why These Related Problems?

These problems maintain the same ratio (1.26) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.