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Finding the Third Proportional to 72,651 and 109,395

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Solution

The third proportional to 72,651 and 109,395 is: 164,722.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    72,651 : 109,395 = 109,395 : x
  2. Step 2: Convert to fraction form
    72,651/109,395 = 109,395/x
  3. Step 3: Cross multiply
    72,651x = 109,395 × 109,395
  4. Step 4: Simplify right side
    72,651x = 11,967,266,025
  5. Step 5: Solve for x
    x = 11,967,266,025/72,651
  6. Step 6: Final answer
    x = 164,722.66

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.