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Finding the Third Proportional to 7,138.13 and 9,681.19

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Solution

The third proportional to 7,138.13 and 9,681.19 is: 13,130.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,138.13 : 9,681.19 = 9,681.19 : x
  2. Step 2: Convert to fraction form
    7,138.13/9,681.19 = 9,681.19/x
  3. Step 3: Cross multiply
    7,138.13x = 9,681.19 × 9,681.19
  4. Step 4: Simplify right side
    7,138.13x = 93,725,391.41
  5. Step 5: Solve for x
    x = 93,725,391.41/7,138.13
  6. Step 6: Final answer
    x = 13,130.25

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Why These Related Problems?

These problems maintain the same ratio (1.36) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.