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Finding the Third Proportional to 7,312.78 and 15,536.81

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Solution

The third proportional to 7,312.78 and 15,536.81 is: 33,009.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,312.78 : 15,536.81 = 15,536.81 : x
  2. Step 2: Convert to fraction form
    7,312.78/15,536.81 = 15,536.81/x
  3. Step 3: Cross multiply
    7,312.78x = 15,536.81 × 15,536.81
  4. Step 4: Simplify right side
    7,312.78x = 241,392,542.66
  5. Step 5: Solve for x
    x = 241,392,542.66/7,312.78
  6. Step 6: Final answer
    x = 33,009.68

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Why These Related Problems?

These problems maintain the same ratio (2.12) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.