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Finding the Third Proportional to 289.13 and 454.78

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Solution

The third proportional to 289.13 and 454.78 is: 715.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    289.13 : 454.78 = 454.78 : x
  2. Step 2: Convert to fraction form
    289.13/454.78 = 454.78/x
  3. Step 3: Cross multiply
    289.13x = 454.78 × 454.78
  4. Step 4: Simplify right side
    289.13x = 206,825.99
  5. Step 5: Solve for x
    x = 206,825.99/289.13
  6. Step 6: Final answer
    x = 715.35

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Why These Related Problems?

These problems maintain the same ratio (1.57) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.