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Finding the Third Proportional to 48,402 and 106,612

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Solution

The third proportional to 48,402 and 106,612 is: 234,827.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    48,402 : 106,612 = 106,612 : x
  2. Step 2: Convert to fraction form
    48,402/106,612 = 106,612/x
  3. Step 3: Cross multiply
    48,402x = 106,612 × 106,612
  4. Step 4: Simplify right side
    48,402x = 11,366,118,544
  5. Step 5: Solve for x
    x = 11,366,118,544/48,402
  6. Step 6: Final answer
    x = 234,827.46

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Why These Related Problems?

These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.