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Finding the Third Proportional to 65,699 and 144,519

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Solution

The third proportional to 65,699 and 144,519 is: 317,900.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    65,699 : 144,519 = 144,519 : x
  2. Step 2: Convert to fraction form
    65,699/144,519 = 144,519/x
  3. Step 3: Cross multiply
    65,699x = 144,519 × 144,519
  4. Step 4: Simplify right side
    65,699x = 20,885,741,361
  5. Step 5: Solve for x
    x = 20,885,741,361/65,699
  6. Step 6: Final answer
    x = 317,900.45

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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.