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Finding the Third Proportional to 65,987.25 and 143,885.25

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Solution

The third proportional to 65,987.25 and 143,885.25 is: 313,741.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    65,987.25 : 143,885.25 = 143,885.25 : x
  2. Step 2: Convert to fraction form
    65,987.25/143,885.25 = 143,885.25/x
  3. Step 3: Cross multiply
    65,987.25x = 143,885.25 × 143,885.25
  4. Step 4: Simplify right side
    65,987.25x = 20,702,965,167.56
  5. Step 5: Solve for x
    x = 20,702,965,167.56/65,987.25
  6. Step 6: Final answer
    x = 313,741.90

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.