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Finding the Third Proportional to 20,613 and 31,017.50

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Solution

The third proportional to 20,613 and 31,017.50 is: 46,673.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,613 : 31,017.50 = 31,017.50 : x
  2. Step 2: Convert to fraction form
    20,613/31,017.50 = 31,017.50/x
  3. Step 3: Cross multiply
    20,613x = 31,017.50 × 31,017.50
  4. Step 4: Simplify right side
    20,613x = 962,085,306.25
  5. Step 5: Solve for x
    x = 962,085,306.25/20,613
  6. Step 6: Final answer
    x = 46,673.72

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.