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Finding the Third Proportional to 619.52 and 958.71

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Solution

The third proportional to 619.52 and 958.71 is: 1,483.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    619.52 : 958.71 = 958.71 : x
  2. Step 2: Convert to fraction form
    619.52/958.71 = 958.71/x
  3. Step 3: Cross multiply
    619.52x = 958.71 × 958.71
  4. Step 4: Simplify right side
    619.52x = 919,126.66
  5. Step 5: Solve for x
    x = 919,126.66/619.52
  6. Step 6: Final answer
    x = 1,483.60

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.