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Finding the Third Proportional to 65,212.88 and 137,431.13

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Solution

The third proportional to 65,212.88 and 137,431.13 is: 289,625.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    65,212.88 : 137,431.13 = 137,431.13 : x
  2. Step 2: Convert to fraction form
    65,212.88/137,431.13 = 137,431.13/x
  3. Step 3: Cross multiply
    65,212.88x = 137,431.13 × 137,431.13
  4. Step 4: Simplify right side
    65,212.88x = 18,887,314,118.77
  5. Step 5: Solve for x
    x = 18,887,314,118.77/65,212.88
  6. Step 6: Final answer
    x = 289,625.54

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Why These Related Problems?

These problems maintain the same ratio (2.11) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.