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Finding the Third Proportional to 65,757 and 143,946.75

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Solution

The third proportional to 65,757 and 143,946.75 is: 315,109.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    65,757 : 143,946.75 = 143,946.75 : x
  2. Step 2: Convert to fraction form
    65,757/143,946.75 = 143,946.75/x
  3. Step 3: Cross multiply
    65,757x = 143,946.75 × 143,946.75
  4. Step 4: Simplify right side
    65,757x = 20,720,666,835.56
  5. Step 5: Solve for x
    x = 20,720,666,835.56/65,757
  6. Step 6: Final answer
    x = 315,109.67

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.