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Finding the Third Proportional to 52,612 and 74,002

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Solution

The third proportional to 52,612 and 74,002 is: 104,088.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    52,612 : 74,002 = 74,002 : x
  2. Step 2: Convert to fraction form
    52,612/74,002 = 74,002/x
  3. Step 3: Cross multiply
    52,612x = 74,002 × 74,002
  4. Step 4: Simplify right side
    52,612x = 5,476,296,004
  5. Step 5: Solve for x
    x = 5,476,296,004/52,612
  6. Step 6: Final answer
    x = 104,088.34

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Why These Related Problems?

These problems maintain the same ratio (1.41) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.