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Finding the Third Proportional to 13,132.13 and 28,814.06

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Solution

The third proportional to 13,132.13 and 28,814.06 is: 63,222.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,132.13 : 28,814.06 = 28,814.06 : x
  2. Step 2: Convert to fraction form
    13,132.13/28,814.06 = 28,814.06/x
  3. Step 3: Cross multiply
    13,132.13x = 28,814.06 × 28,814.06
  4. Step 4: Simplify right side
    13,132.13x = 830,250,197.75
  5. Step 5: Solve for x
    x = 830,250,197.75/13,132.13
  6. Step 6: Final answer
    x = 63,222.84

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.