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Finding the Third Proportional to 49,646 and 106,402

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Solution

The third proportional to 49,646 and 106,402 is: 228,042.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    49,646 : 106,402 = 106,402 : x
  2. Step 2: Convert to fraction form
    49,646/106,402 = 106,402/x
  3. Step 3: Cross multiply
    49,646x = 106,402 × 106,402
  4. Step 4: Simplify right side
    49,646x = 11,321,385,604
  5. Step 5: Solve for x
    x = 11,321,385,604/49,646
  6. Step 6: Final answer
    x = 228,042.25

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.