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Finding the Third Proportional to 30,145 and 65,479

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Solution

The third proportional to 30,145 and 65,479 is: 142,229.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,145 : 65,479 = 65,479 : x
  2. Step 2: Convert to fraction form
    30,145/65,479 = 65,479/x
  3. Step 3: Cross multiply
    30,145x = 65,479 × 65,479
  4. Step 4: Simplify right side
    30,145x = 4,287,499,441
  5. Step 5: Solve for x
    x = 4,287,499,441/30,145
  6. Step 6: Final answer
    x = 142,229.21

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.