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Finding the Third Proportional to 21,915 and 31,230.56

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Solution

The third proportional to 21,915 and 31,230.56 is: 44,505.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,915 : 31,230.56 = 31,230.56 : x
  2. Step 2: Convert to fraction form
    21,915/31,230.56 = 31,230.56/x
  3. Step 3: Cross multiply
    21,915x = 31,230.56 × 31,230.56
  4. Step 4: Simplify right side
    21,915x = 975,348,034.07
  5. Step 5: Solve for x
    x = 975,348,034.07/21,915
  6. Step 6: Final answer
    x = 44,505.96

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Why These Related Problems?

These problems maintain the same ratio (1.43) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.