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Finding the Third Proportional to 585.38 and 1,261.88

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Solution

The third proportional to 585.38 and 1,261.88 is: 2,720.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    585.38 : 1,261.88 = 1,261.88 : x
  2. Step 2: Convert to fraction form
    585.38/1,261.88 = 1,261.88/x
  3. Step 3: Cross multiply
    585.38x = 1,261.88 × 1,261.88
  4. Step 4: Simplify right side
    585.38x = 1,592,328.52
  5. Step 5: Solve for x
    x = 1,592,328.52/585.38
  6. Step 6: Final answer
    x = 2,720.19

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.