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Finding the Third Proportional to 10,378.13 and 11,350.13

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Solution

The third proportional to 10,378.13 and 11,350.13 is: 12,413.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,378.13 : 11,350.13 = 11,350.13 : x
  2. Step 2: Convert to fraction form
    10,378.13/11,350.13 = 11,350.13/x
  3. Step 3: Cross multiply
    10,378.13x = 11,350.13 × 11,350.13
  4. Step 4: Simplify right side
    10,378.13x = 128,825,337.52
  5. Step 5: Solve for x
    x = 128,825,337.52/10,378.13
  6. Step 6: Final answer
    x = 12,413.16

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Why These Related Problems?

These problems maintain the same ratio (1.09) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.