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Finding the Third Proportional to 7,312.78 and 11,869.03

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Solution

The third proportional to 7,312.78 and 11,869.03 is: 19,264.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,312.78 : 11,869.03 = 11,869.03 : x
  2. Step 2: Convert to fraction form
    7,312.78/11,869.03 = 11,869.03/x
  3. Step 3: Cross multiply
    7,312.78x = 11,869.03 × 11,869.03
  4. Step 4: Simplify right side
    7,312.78x = 140,873,902.81
  5. Step 5: Solve for x
    x = 140,873,902.81/7,312.78
  6. Step 6: Final answer
    x = 19,264.07

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Why These Related Problems?

These problems maintain the same ratio (1.62) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.