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Finding the Third Proportional to 71,428 and 144,800

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Solution

The third proportional to 71,428 and 144,800 is: 293,540.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    71,428 : 144,800 = 144,800 : x
  2. Step 2: Convert to fraction form
    71,428/144,800 = 144,800/x
  3. Step 3: Cross multiply
    71,428x = 144,800 × 144,800
  4. Step 4: Simplify right side
    71,428x = 20,967,040,000
  5. Step 5: Solve for x
    x = 20,967,040,000/71,428
  6. Step 6: Final answer
    x = 293,540.91

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Why These Related Problems?

These problems maintain the same ratio (2.03) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.