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Finding the Third Proportional to 7,603.80 and 10,171.20

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Solution

The third proportional to 7,603.80 and 10,171.20 is: 13,605.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,603.80 : 10,171.20 = 10,171.20 : x
  2. Step 2: Convert to fraction form
    7,603.80/10,171.20 = 10,171.20/x
  3. Step 3: Cross multiply
    7,603.80x = 10,171.20 × 10,171.20
  4. Step 4: Simplify right side
    7,603.80x = 103,453,214.09
  5. Step 5: Solve for x
    x = 103,453,214.09/7,603.80
  6. Step 6: Final answer
    x = 13,605.45

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Why These Related Problems?

These problems maintain the same ratio (1.34) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.