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Finding the Third Proportional to 65,427.75 and 144,387.56

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Solution

The third proportional to 65,427.75 and 144,387.56 is: 318,638.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    65,427.75 : 144,387.56 = 144,387.56 : x
  2. Step 2: Convert to fraction form
    65,427.75/144,387.56 = 144,387.56/x
  3. Step 3: Cross multiply
    65,427.75x = 144,387.56 × 144,387.56
  4. Step 4: Simplify right side
    65,427.75x = 20,847,768,204.69
  5. Step 5: Solve for x
    x = 20,847,768,204.69/65,427.75
  6. Step 6: Final answer
    x = 318,638.01

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Why These Related Problems?

These problems maintain the same ratio (2.21) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.