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Finding the Third Proportional to 65,331 and 143,115

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Solution

The third proportional to 65,331 and 143,115 is: 313,509.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    65,331 : 143,115 = 143,115 : x
  2. Step 2: Convert to fraction form
    65,331/143,115 = 143,115/x
  3. Step 3: Cross multiply
    65,331x = 143,115 × 143,115
  4. Step 4: Simplify right side
    65,331x = 20,481,903,225
  5. Step 5: Solve for x
    x = 20,481,903,225/65,331
  6. Step 6: Final answer
    x = 313,509.72

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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.