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Finding the Third Proportional to 5,280.19 and 10,917.28

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Solution

The third proportional to 5,280.19 and 10,917.28 is: 22,572.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,280.19 : 10,917.28 = 10,917.28 : x
  2. Step 2: Convert to fraction form
    5,280.19/10,917.28 = 10,917.28/x
  3. Step 3: Cross multiply
    5,280.19x = 10,917.28 × 10,917.28
  4. Step 4: Simplify right side
    5,280.19x = 119,187,029.89
  5. Step 5: Solve for x
    x = 119,187,029.89/5,280.19
  6. Step 6: Final answer
    x = 22,572.50

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Why These Related Problems?

These problems maintain the same ratio (2.07) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.