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Finding the Third Proportional to 68,283 and 144,666

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Solution

The third proportional to 68,283 and 144,666 is: 306,492.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    68,283 : 144,666 = 144,666 : x
  2. Step 2: Convert to fraction form
    68,283/144,666 = 144,666/x
  3. Step 3: Cross multiply
    68,283x = 144,666 × 144,666
  4. Step 4: Simplify right side
    68,283x = 20,928,251,556
  5. Step 5: Solve for x
    x = 20,928,251,556/68,283
  6. Step 6: Final answer
    x = 306,492.85

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Why These Related Problems?

These problems maintain the same ratio (2.12) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.