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Finding the Third Proportional to 29,381 and 61,786

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Solution

The third proportional to 29,381 and 61,786 is: 129,931.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    29,381 : 61,786 = 61,786 : x
  2. Step 2: Convert to fraction form
    29,381/61,786 = 61,786/x
  3. Step 3: Cross multiply
    29,381x = 61,786 × 61,786
  4. Step 4: Simplify right side
    29,381x = 3,817,509,796
  5. Step 5: Solve for x
    x = 3,817,509,796/29,381
  6. Step 6: Final answer
    x = 129,931.24

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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.