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Finding the Third Proportional to 18,513 and 30,613.50

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Solution

The third proportional to 18,513 and 30,613.50 is: 50,623.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    18,513 : 30,613.50 = 30,613.50 : x
  2. Step 2: Convert to fraction form
    18,513/30,613.50 = 30,613.50/x
  3. Step 3: Cross multiply
    18,513x = 30,613.50 × 30,613.50
  4. Step 4: Simplify right side
    18,513x = 937,186,382.25
  5. Step 5: Solve for x
    x = 937,186,382.25/18,513
  6. Step 6: Final answer
    x = 50,623.15

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Why These Related Problems?

These problems maintain the same ratio (1.65) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.