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Finding the Third Proportional to 21,176 and 31,177.25

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Solution

The third proportional to 21,176 and 31,177.25 is: 45,902.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,176 : 31,177.25 = 31,177.25 : x
  2. Step 2: Convert to fraction form
    21,176/31,177.25 = 31,177.25/x
  3. Step 3: Cross multiply
    21,176x = 31,177.25 × 31,177.25
  4. Step 4: Simplify right side
    21,176x = 972,020,917.56
  5. Step 5: Solve for x
    x = 972,020,917.56/21,176
  6. Step 6: Final answer
    x = 45,902.01

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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.