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Finding the Third Proportional to 2,902.47 and 6,266.27

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Solution

The third proportional to 2,902.47 and 6,266.27 is: 13,528.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,902.47 : 6,266.27 = 6,266.27 : x
  2. Step 2: Convert to fraction form
    2,902.47/6,266.27 = 6,266.27/x
  3. Step 3: Cross multiply
    2,902.47x = 6,266.27 × 6,266.27
  4. Step 4: Simplify right side
    2,902.47x = 39,266,109.36
  5. Step 5: Solve for x
    x = 39,266,109.36/2,902.47
  6. Step 6: Final answer
    x = 13,528.50

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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.