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Finding the Third Proportional to 7,312.78 and 12,916.97

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Solution

The third proportional to 7,312.78 and 12,916.97 is: 22,815.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,312.78 : 12,916.97 = 12,916.97 : x
  2. Step 2: Convert to fraction form
    7,312.78/12,916.97 = 12,916.97/x
  3. Step 3: Cross multiply
    7,312.78x = 12,916.97 × 12,916.97
  4. Step 4: Simplify right side
    7,312.78x = 166,848,081.69
  5. Step 5: Solve for x
    x = 166,848,081.69/7,312.78
  6. Step 6: Final answer
    x = 22,815.95

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Why These Related Problems?

These problems maintain the same ratio (1.77) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.