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Finding the Third Proportional to 13,289 and 28,769

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Solution

The third proportional to 13,289 and 28,769 is: 62,281.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,289 : 28,769 = 28,769 : x
  2. Step 2: Convert to fraction form
    13,289/28,769 = 28,769/x
  3. Step 3: Cross multiply
    13,289x = 28,769 × 28,769
  4. Step 4: Simplify right side
    13,289x = 827,655,361
  5. Step 5: Solve for x
    x = 827,655,361/13,289
  6. Step 6: Final answer
    x = 62,281.24

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.