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Finding the Third Proportional to 19,219.50 and 31,887

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Solution

The third proportional to 19,219.50 and 31,887 is: 52,903.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    19,219.50 : 31,887 = 31,887 : x
  2. Step 2: Convert to fraction form
    19,219.50/31,887 = 31,887/x
  3. Step 3: Cross multiply
    19,219.50x = 31,887 × 31,887
  4. Step 4: Simplify right side
    19,219.50x = 1,016,780,769
  5. Step 5: Solve for x
    x = 1,016,780,769/19,219.50
  6. Step 6: Final answer
    x = 52,903.60

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Why These Related Problems?

These problems maintain the same ratio (1.66) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.