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Finding the Third Proportional to 12,718.13 and 28,563.75

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Solution

The third proportional to 12,718.13 and 28,563.75 is: 64,151.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,718.13 : 28,563.75 = 28,563.75 : x
  2. Step 2: Convert to fraction form
    12,718.13/28,563.75 = 28,563.75/x
  3. Step 3: Cross multiply
    12,718.13x = 28,563.75 × 28,563.75
  4. Step 4: Simplify right side
    12,718.13x = 815,887,814.06
  5. Step 5: Solve for x
    x = 815,887,814.06/12,718.13
  6. Step 6: Final answer
    x = 64,151.58

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Why These Related Problems?

These problems maintain the same ratio (2.25) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.