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Finding the Third Proportional to 8,864.63 and 13,121.81

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Solution

The third proportional to 8,864.63 and 13,121.81 is: 19,423.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,864.63 : 13,121.81 = 13,121.81 : x
  2. Step 2: Convert to fraction form
    8,864.63/13,121.81 = 13,121.81/x
  3. Step 3: Cross multiply
    8,864.63x = 13,121.81 × 13,121.81
  4. Step 4: Simplify right side
    8,864.63x = 172,181,963.29
  5. Step 5: Solve for x
    x = 172,181,963.29/8,864.63
  6. Step 6: Final answer
    x = 19,423.49

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Why These Related Problems?

These problems maintain the same ratio (1.48) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.