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Finding the Third Proportional to 9,711 and 14,266.50

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Solution

The third proportional to 9,711 and 14,266.50 is: 20,959.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,711 : 14,266.50 = 14,266.50 : x
  2. Step 2: Convert to fraction form
    9,711/14,266.50 = 14,266.50/x
  3. Step 3: Cross multiply
    9,711x = 14,266.50 × 14,266.50
  4. Step 4: Simplify right side
    9,711x = 203,533,022.25
  5. Step 5: Solve for x
    x = 203,533,022.25/9,711
  6. Step 6: Final answer
    x = 20,959.02

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Why These Related Problems?

These problems maintain the same ratio (1.47) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.