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Finding the Third Proportional to 18,316.13 and 30,678.75

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Solution

The third proportional to 18,316.13 and 30,678.75 is: 51,385.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    18,316.13 : 30,678.75 = 30,678.75 : x
  2. Step 2: Convert to fraction form
    18,316.13/30,678.75 = 30,678.75/x
  3. Step 3: Cross multiply
    18,316.13x = 30,678.75 × 30,678.75
  4. Step 4: Simplify right side
    18,316.13x = 941,185,701.56
  5. Step 5: Solve for x
    x = 941,185,701.56/18,316.13
  6. Step 6: Final answer
    x = 51,385.63

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Why These Related Problems?

These problems maintain the same ratio (1.67) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.