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Finding the Third Proportional to 585.47 and 881.91

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Solution

The third proportional to 585.47 and 881.91 is: 1,328.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    585.47 : 881.91 = 881.91 : x
  2. Step 2: Convert to fraction form
    585.47/881.91 = 881.91/x
  3. Step 3: Cross multiply
    585.47x = 881.91 × 881.91
  4. Step 4: Simplify right side
    585.47x = 777,758.63
  5. Step 5: Solve for x
    x = 777,758.63/585.47
  6. Step 6: Final answer
    x = 1,328.44

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.