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Finding the Third Proportional to 19,431 and 30,897.75

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Solution

The third proportional to 19,431 and 30,897.75 is: 49,131.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    19,431 : 30,897.75 = 30,897.75 : x
  2. Step 2: Convert to fraction form
    19,431/30,897.75 = 30,897.75/x
  3. Step 3: Cross multiply
    19,431x = 30,897.75 × 30,897.75
  4. Step 4: Simplify right side
    19,431x = 954,670,955.06
  5. Step 5: Solve for x
    x = 954,670,955.06/19,431
  6. Step 6: Final answer
    x = 49,131.33

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Why These Related Problems?

These problems maintain the same ratio (1.59) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.