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Finding the Third Proportional to 12,309.75 and 19,077.75

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Solution

The third proportional to 12,309.75 and 19,077.75 is: 29,566.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,309.75 : 19,077.75 = 19,077.75 : x
  2. Step 2: Convert to fraction form
    12,309.75/19,077.75 = 19,077.75/x
  3. Step 3: Cross multiply
    12,309.75x = 19,077.75 × 19,077.75
  4. Step 4: Simplify right side
    12,309.75x = 363,960,545.06
  5. Step 5: Solve for x
    x = 363,960,545.06/12,309.75
  6. Step 6: Final answer
    x = 29,566.85

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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.