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Finding the Third Proportional to 8,864.44 and 13,532.06

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Solution

The third proportional to 8,864.44 and 13,532.06 is: 20,657.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,864.44 : 13,532.06 = 13,532.06 : x
  2. Step 2: Convert to fraction form
    8,864.44/13,532.06 = 13,532.06/x
  3. Step 3: Cross multiply
    8,864.44x = 13,532.06 × 13,532.06
  4. Step 4: Simplify right side
    8,864.44x = 183,116,715.50
  5. Step 5: Solve for x
    x = 183,116,715.50/8,864.44
  6. Step 6: Final answer
    x = 20,657.45

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Why These Related Problems?

These problems maintain the same ratio (1.53) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.