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Finding the Third Proportional to 65,553.75 and 143,011.50

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Solution

The third proportional to 65,553.75 and 143,011.50 is: 311,992.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    65,553.75 : 143,011.50 = 143,011.50 : x
  2. Step 2: Convert to fraction form
    65,553.75/143,011.50 = 143,011.50/x
  3. Step 3: Cross multiply
    65,553.75x = 143,011.50 × 143,011.50
  4. Step 4: Simplify right side
    65,553.75x = 20,452,289,132.25
  5. Step 5: Solve for x
    x = 20,452,289,132.25/65,553.75
  6. Step 6: Final answer
    x = 311,992.66

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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.