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Finding the Third Proportional to 4,340 and 5,678

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Solution

The third proportional to 4,340 and 5,678 is: 7,428.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,340 : 5,678 = 5,678 : x
  2. Step 2: Convert to fraction form
    4,340/5,678 = 5,678/x
  3. Step 3: Cross multiply
    4,340x = 5,678 × 5,678
  4. Step 4: Simplify right side
    4,340x = 32,239,684
  5. Step 5: Solve for x
    x = 32,239,684/4,340
  6. Step 6: Final answer
    x = 7,428.50

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Why These Related Problems?

These problems maintain the same ratio (1.31) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.