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Finding the Third Proportional to 580.69 and 899.63

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Solution

The third proportional to 580.69 and 899.63 is: 1,393.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    580.69 : 899.63 = 899.63 : x
  2. Step 2: Convert to fraction form
    580.69/899.63 = 899.63/x
  3. Step 3: Cross multiply
    580.69x = 899.63 × 899.63
  4. Step 4: Simplify right side
    580.69x = 809,325.14
  5. Step 5: Solve for x
    x = 809,325.14/580.69
  6. Step 6: Final answer
    x = 1,393.74

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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.