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Finding the Third Proportional to 4,630.50 and 9,984.66

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Solution

The third proportional to 4,630.50 and 9,984.66 is: 21,529.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,630.50 : 9,984.66 = 9,984.66 : x
  2. Step 2: Convert to fraction form
    4,630.50/9,984.66 = 9,984.66/x
  3. Step 3: Cross multiply
    4,630.50x = 9,984.66 × 9,984.66
  4. Step 4: Simplify right side
    4,630.50x = 99,693,360.43
  5. Step 5: Solve for x
    x = 99,693,360.43/4,630.50
  6. Step 6: Final answer
    x = 21,529.72

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.