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Finding the Third Proportional to 289.83 and 460.34

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Solution

The third proportional to 289.83 and 460.34 is: 731.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    289.83 : 460.34 = 460.34 : x
  2. Step 2: Convert to fraction form
    289.83/460.34 = 460.34/x
  3. Step 3: Cross multiply
    289.83x = 460.34 × 460.34
  4. Step 4: Simplify right side
    289.83x = 211,909.18
  5. Step 5: Solve for x
    x = 211,909.18/289.83
  6. Step 6: Final answer
    x = 731.15

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Why These Related Problems?

These problems maintain the same ratio (1.59) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.