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Finding the Third Proportional to 13,864.50 and 21,332

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Solution

The third proportional to 13,864.50 and 21,332 is: 32,821.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,864.50 : 21,332 = 21,332 : x
  2. Step 2: Convert to fraction form
    13,864.50/21,332 = 21,332/x
  3. Step 3: Cross multiply
    13,864.50x = 21,332 × 21,332
  4. Step 4: Simplify right side
    13,864.50x = 455,054,224
  5. Step 5: Solve for x
    x = 455,054,224/13,864.50
  6. Step 6: Final answer
    x = 32,821.54

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Why These Related Problems?

These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.