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Finding the Third Proportional to 21,223 and 31,051.50

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Solution

The third proportional to 21,223 and 31,051.50 is: 45,431.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,223 : 31,051.50 = 31,051.50 : x
  2. Step 2: Convert to fraction form
    21,223/31,051.50 = 31,051.50/x
  3. Step 3: Cross multiply
    21,223x = 31,051.50 × 31,051.50
  4. Step 4: Simplify right side
    21,223x = 964,195,652.25
  5. Step 5: Solve for x
    x = 964,195,652.25/21,223
  6. Step 6: Final answer
    x = 45,431.64

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Why These Related Problems?

These problems maintain the same ratio (1.46) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.