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Finding the Third Proportional to 21,084.75 and 31,515.75

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Solution

The third proportional to 21,084.75 and 31,515.75 is: 47,107.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,084.75 : 31,515.75 = 31,515.75 : x
  2. Step 2: Convert to fraction form
    21,084.75/31,515.75 = 31,515.75/x
  3. Step 3: Cross multiply
    21,084.75x = 31,515.75 × 31,515.75
  4. Step 4: Simplify right side
    21,084.75x = 993,242,498.06
  5. Step 5: Solve for x
    x = 993,242,498.06/21,084.75
  6. Step 6: Final answer
    x = 47,107.15

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.