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Finding the Third Proportional to 7,212.38 and 10,915.13

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Solution

The third proportional to 7,212.38 and 10,915.13 is: 16,518.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,212.38 : 10,915.13 = 10,915.13 : x
  2. Step 2: Convert to fraction form
    7,212.38/10,915.13 = 10,915.13/x
  3. Step 3: Cross multiply
    7,212.38x = 10,915.13 × 10,915.13
  4. Step 4: Simplify right side
    7,212.38x = 119,139,953.77
  5. Step 5: Solve for x
    x = 119,139,953.77/7,212.38
  6. Step 6: Final answer
    x = 16,518.82

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.