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Finding the Third Proportional to 29,352 and 61,620

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Solution

The third proportional to 29,352 and 61,620 is: 129,361.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    29,352 : 61,620 = 61,620 : x
  2. Step 2: Convert to fraction form
    29,352/61,620 = 61,620/x
  3. Step 3: Cross multiply
    29,352x = 61,620 × 61,620
  4. Step 4: Simplify right side
    29,352x = 3,797,024,400
  5. Step 5: Solve for x
    x = 3,797,024,400/29,352
  6. Step 6: Final answer
    x = 129,361.69

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Why These Related Problems?

These problems maintain the same ratio (2.10) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.