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Finding the Third Proportional to 31,215 and 47,864.25

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Solution

The third proportional to 31,215 and 47,864.25 is: 73,393.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,215 : 47,864.25 = 47,864.25 : x
  2. Step 2: Convert to fraction form
    31,215/47,864.25 = 47,864.25/x
  3. Step 3: Cross multiply
    31,215x = 47,864.25 × 47,864.25
  4. Step 4: Simplify right side
    31,215x = 2,290,986,428.06
  5. Step 5: Solve for x
    x = 2,290,986,428.06/31,215
  6. Step 6: Final answer
    x = 73,393.77

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Why These Related Problems?

These problems maintain the same ratio (1.53) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.