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Finding the Third Proportional to 102,720 and 144,228

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Solution

The third proportional to 102,720 and 144,228 is: 202,508.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    102,720 : 144,228 = 144,228 : x
  2. Step 2: Convert to fraction form
    102,720/144,228 = 144,228/x
  3. Step 3: Cross multiply
    102,720x = 144,228 × 144,228
  4. Step 4: Simplify right side
    102,720x = 20,801,715,984
  5. Step 5: Solve for x
    x = 20,801,715,984/102,720
  6. Step 6: Final answer
    x = 202,508.92

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Why These Related Problems?

These problems maintain the same ratio (1.40) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.