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Finding the Third Proportional to 812,960.30 and 1,069,272.14

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Solution

The third proportional to 812,960.30 and 1,069,272.14 is: 1,406,394.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    812,960.30 : 1,069,272.14 = 1,069,272.14 : x
  2. Step 2: Convert to fraction form
    812,960.30/1,069,272.14 = 1,069,272.14/x
  3. Step 3: Cross multiply
    812,960.30x = 1,069,272.14 × 1,069,272.14
  4. Step 4: Simplify right side
    812,960.30x = 1,143,342,910,716.77
  5. Step 5: Solve for x
    x = 1,143,342,910,716.77/812,960.30
  6. Step 6: Final answer
    x = 1,406,394.53

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Why These Related Problems?

These problems maintain the same ratio (1.32) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.