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Finding the Third Proportional to 580.41 and 899.34

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Solution

The third proportional to 580.41 and 899.34 is: 1,393.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    580.41 : 899.34 = 899.34 : x
  2. Step 2: Convert to fraction form
    580.41/899.34 = 899.34/x
  3. Step 3: Cross multiply
    580.41x = 899.34 × 899.34
  4. Step 4: Simplify right side
    580.41x = 808,819.18
  5. Step 5: Solve for x
    x = 808,819.18/580.41
  6. Step 6: Final answer
    x = 1,393.54

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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.