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Finding the Third Proportional to 65,750 and 143,803

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Solution

The third proportional to 65,750 and 143,803 is: 314,514.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    65,750 : 143,803 = 143,803 : x
  2. Step 2: Convert to fraction form
    65,750/143,803 = 143,803/x
  3. Step 3: Cross multiply
    65,750x = 143,803 × 143,803
  4. Step 4: Simplify right side
    65,750x = 20,679,302,809
  5. Step 5: Solve for x
    x = 20,679,302,809/65,750
  6. Step 6: Final answer
    x = 314,514.11

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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.