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Finding the Third Proportional to 1,478 and 3,230

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Solution

The third proportional to 1,478 and 3,230 is: 7,058.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,478 : 3,230 = 3,230 : x
  2. Step 2: Convert to fraction form
    1,478/3,230 = 3,230/x
  3. Step 3: Cross multiply
    1,478x = 3,230 × 3,230
  4. Step 4: Simplify right side
    1,478x = 10,432,900
  5. Step 5: Solve for x
    x = 10,432,900/1,478
  6. Step 6: Final answer
    x = 7,058.80

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.