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Finding the Third Proportional to 4,971 and 12,319.50

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Solution

The third proportional to 4,971 and 12,319.50 is: 30,531.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,971 : 12,319.50 = 12,319.50 : x
  2. Step 2: Convert to fraction form
    4,971/12,319.50 = 12,319.50/x
  3. Step 3: Cross multiply
    4,971x = 12,319.50 × 12,319.50
  4. Step 4: Simplify right side
    4,971x = 151,770,080.25
  5. Step 5: Solve for x
    x = 151,770,080.25/4,971
  6. Step 6: Final answer
    x = 30,531.10

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Why These Related Problems?

These problems maintain the same ratio (2.48) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.