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Finding the Third Proportional to 440.90 and 585.06

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Solution

The third proportional to 440.90 and 585.06 is: 776.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    440.90 : 585.06 = 585.06 : x
  2. Step 2: Convert to fraction form
    440.90/585.06 = 585.06/x
  3. Step 3: Cross multiply
    440.90x = 585.06 × 585.06
  4. Step 4: Simplify right side
    440.90x = 342,295.06
  5. Step 5: Solve for x
    x = 342,295.06/440.90
  6. Step 6: Final answer
    x = 776.36

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Why These Related Problems?

These problems maintain the same ratio (1.33) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.