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Finding the Third Proportional to 9,175.78 and 12,315.80

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Solution

The third proportional to 9,175.78 and 12,315.80 is: 16,530.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,175.78 : 12,315.80 = 12,315.80 : x
  2. Step 2: Convert to fraction form
    9,175.78/12,315.80 = 12,315.80/x
  3. Step 3: Cross multiply
    9,175.78x = 12,315.80 × 12,315.80
  4. Step 4: Simplify right side
    9,175.78x = 151,678,852.67
  5. Step 5: Solve for x
    x = 151,678,852.67/9,175.78
  6. Step 6: Final answer
    x = 16,530.35

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Why These Related Problems?

These problems maintain the same ratio (1.34) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.