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Finding the Third Proportional to 18,865 and 51,302.50

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Solution

The third proportional to 18,865 and 51,302.50 is: 139,514.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    18,865 : 51,302.50 = 51,302.50 : x
  2. Step 2: Convert to fraction form
    18,865/51,302.50 = 51,302.50/x
  3. Step 3: Cross multiply
    18,865x = 51,302.50 × 51,302.50
  4. Step 4: Simplify right side
    18,865x = 2,631,946,506.25
  5. Step 5: Solve for x
    x = 2,631,946,506.25/18,865
  6. Step 6: Final answer
    x = 139,514.79

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Why These Related Problems?

These problems maintain the same ratio (2.72) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.