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Finding the Third Proportional to 663.19 and 899.86

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Solution

The third proportional to 663.19 and 899.86 is: 1,220.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    663.19 : 899.86 = 899.86 : x
  2. Step 2: Convert to fraction form
    663.19/899.86 = 899.86/x
  3. Step 3: Cross multiply
    663.19x = 899.86 × 899.86
  4. Step 4: Simplify right side
    663.19x = 809,746.89
  5. Step 5: Solve for x
    x = 809,746.89/663.19
  6. Step 6: Final answer
    x = 1,220.99

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Why These Related Problems?

These problems maintain the same ratio (1.36) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.