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Finding the Third Proportional to 13,209.75 and 30,655.13

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Solution

The third proportional to 13,209.75 and 30,655.13 is: 71,139.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,209.75 : 30,655.13 = 30,655.13 : x
  2. Step 2: Convert to fraction form
    13,209.75/30,655.13 = 30,655.13/x
  3. Step 3: Cross multiply
    13,209.75x = 30,655.13 × 30,655.13
  4. Step 4: Simplify right side
    13,209.75x = 939,736,688.77
  5. Step 5: Solve for x
    x = 939,736,688.77/13,209.75
  6. Step 6: Final answer
    x = 71,139.63

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Why These Related Problems?

These problems maintain the same ratio (2.32) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.