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Finding the Third Proportional to 289.67 and 457.76

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Solution

The third proportional to 289.67 and 457.76 is: 723.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    289.67 : 457.76 = 457.76 : x
  2. Step 2: Convert to fraction form
    289.67/457.76 = 457.76/x
  3. Step 3: Cross multiply
    289.67x = 457.76 × 457.76
  4. Step 4: Simplify right side
    289.67x = 209,544.90
  5. Step 5: Solve for x
    x = 209,544.90/289.67
  6. Step 6: Final answer
    x = 723.39

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Why These Related Problems?

These problems maintain the same ratio (1.58) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.