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Finding the Third Proportional to 581.63 and 815.63

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Solution

The third proportional to 581.63 and 815.63 is: 1,143.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    581.63 : 815.63 = 815.63 : x
  2. Step 2: Convert to fraction form
    581.63/815.63 = 815.63/x
  3. Step 3: Cross multiply
    581.63x = 815.63 × 815.63
  4. Step 4: Simplify right side
    581.63x = 665,244.14
  5. Step 5: Solve for x
    x = 665,244.14/581.63
  6. Step 6: Final answer
    x = 1,143.77

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Why These Related Problems?

These problems maintain the same ratio (1.40) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.