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Finding the Third Proportional to 21,226.50 and 31,045.75

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Solution

The third proportional to 21,226.50 and 31,045.75 is: 45,407.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,226.50 : 31,045.75 = 31,045.75 : x
  2. Step 2: Convert to fraction form
    21,226.50/31,045.75 = 31,045.75/x
  3. Step 3: Cross multiply
    21,226.50x = 31,045.75 × 31,045.75
  4. Step 4: Simplify right side
    21,226.50x = 963,838,593.06
  5. Step 5: Solve for x
    x = 963,838,593.06/21,226.50
  6. Step 6: Final answer
    x = 45,407.33

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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.