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Finding the Third Proportional to 10,332 and 11,088

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Solution

The third proportional to 10,332 and 11,088 is: 11,899.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,332 : 11,088 = 11,088 : x
  2. Step 2: Convert to fraction form
    10,332/11,088 = 11,088/x
  3. Step 3: Cross multiply
    10,332x = 11,088 × 11,088
  4. Step 4: Simplify right side
    10,332x = 122,943,744
  5. Step 5: Solve for x
    x = 122,943,744/10,332
  6. Step 6: Final answer
    x = 11,899.32

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.07) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.