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Finding the Third Proportional to 7,822,829.25 and 12,102,618.38

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Solution

The third proportional to 7,822,829.25 and 12,102,618.38 is: 18,723,835.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,822,829.25 : 12,102,618.38 = 12,102,618.38 : x
  2. Step 2: Convert to fraction form
    7,822,829.25/12,102,618.38 = 12,102,618.38/x
  3. Step 3: Cross multiply
    7,822,829.25x = 12,102,618.38 × 12,102,618.38
  4. Step 4: Simplify right side
    7,822,829.25x = 146,473,371,530,887.62
  5. Step 5: Solve for x
    x = 146,473,371,530,887.62/7,822,829.25
  6. Step 6: Final answer
    x = 18,723,835.95

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.