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Finding the Third Proportional to 29,178 and 42,491

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Solution

The third proportional to 29,178 and 42,491 is: 61,878.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    29,178 : 42,491 = 42,491 : x
  2. Step 2: Convert to fraction form
    29,178/42,491 = 42,491/x
  3. Step 3: Cross multiply
    29,178x = 42,491 × 42,491
  4. Step 4: Simplify right side
    29,178x = 1,805,485,081
  5. Step 5: Solve for x
    x = 1,805,485,081/29,178
  6. Step 6: Final answer
    x = 61,878.30

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Why These Related Problems?

These problems maintain the same ratio (1.46) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.