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Finding the Third Proportional to 21,175 and 31,115

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Solution

The third proportional to 21,175 and 31,115 is: 45,721.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,175 : 31,115 = 31,115 : x
  2. Step 2: Convert to fraction form
    21,175/31,115 = 31,115/x
  3. Step 3: Cross multiply
    21,175x = 31,115 × 31,115
  4. Step 4: Simplify right side
    21,175x = 968,143,225
  5. Step 5: Solve for x
    x = 968,143,225/21,175
  6. Step 6: Final answer
    x = 45,721.05

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Why These Related Problems?

These problems maintain the same ratio (1.47) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.