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Finding the Third Proportional to 65,898 and 144,915

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Solution

The third proportional to 65,898 and 144,915 is: 318,679.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    65,898 : 144,915 = 144,915 : x
  2. Step 2: Convert to fraction form
    65,898/144,915 = 144,915/x
  3. Step 3: Cross multiply
    65,898x = 144,915 × 144,915
  4. Step 4: Simplify right side
    65,898x = 21,000,357,225
  5. Step 5: Solve for x
    x = 21,000,357,225/65,898
  6. Step 6: Final answer
    x = 318,679.74

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Why These Related Problems?

These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.