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Finding the Third Proportional to 31,119.75 and 47,862

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Solution

The third proportional to 31,119.75 and 47,862 is: 73,611.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,119.75 : 47,862 = 47,862 : x
  2. Step 2: Convert to fraction form
    31,119.75/47,862 = 47,862/x
  3. Step 3: Cross multiply
    31,119.75x = 47,862 × 47,862
  4. Step 4: Simplify right side
    31,119.75x = 2,290,771,044
  5. Step 5: Solve for x
    x = 2,290,771,044/31,119.75
  6. Step 6: Final answer
    x = 73,611.49

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Why These Related Problems?

These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.