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Finding the Third Proportional to 20,218 and 31,033

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Solution

The third proportional to 20,218 and 31,033 is: 47,633.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,218 : 31,033 = 31,033 : x
  2. Step 2: Convert to fraction form
    20,218/31,033 = 31,033/x
  3. Step 3: Cross multiply
    20,218x = 31,033 × 31,033
  4. Step 4: Simplify right side
    20,218x = 963,047,089
  5. Step 5: Solve for x
    x = 963,047,089/20,218
  6. Step 6: Final answer
    x = 47,633.15

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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.