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Finding the Third Proportional to 49,502 and 106,732

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Solution

The third proportional to 49,502 and 106,732 is: 230,126.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    49,502 : 106,732 = 106,732 : x
  2. Step 2: Convert to fraction form
    49,502/106,732 = 106,732/x
  3. Step 3: Cross multiply
    49,502x = 106,732 × 106,732
  4. Step 4: Simplify right side
    49,502x = 11,391,719,824
  5. Step 5: Solve for x
    x = 11,391,719,824/49,502
  6. Step 6: Final answer
    x = 230,126.46

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.