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Finding the Third Proportional to 29,679 and 39,646

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Solution

The third proportional to 29,679 and 39,646 is: 52,960.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    29,679 : 39,646 = 39,646 : x
  2. Step 2: Convert to fraction form
    29,679/39,646 = 39,646/x
  3. Step 3: Cross multiply
    29,679x = 39,646 × 39,646
  4. Step 4: Simplify right side
    29,679x = 1,571,805,316
  5. Step 5: Solve for x
    x = 1,571,805,316/29,679
  6. Step 6: Final answer
    x = 52,960.18

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Why These Related Problems?

These problems maintain the same ratio (1.34) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.