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Finding the Third Proportional to 7,785 and 17,977.50

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Solution

The third proportional to 7,785 and 17,977.50 is: 41,514.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,785 : 17,977.50 = 17,977.50 : x
  2. Step 2: Convert to fraction form
    7,785/17,977.50 = 17,977.50/x
  3. Step 3: Cross multiply
    7,785x = 17,977.50 × 17,977.50
  4. Step 4: Simplify right side
    7,785x = 323,190,506.25
  5. Step 5: Solve for x
    x = 323,190,506.25/7,785
  6. Step 6: Final answer
    x = 41,514.52

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Why These Related Problems?

These problems maintain the same ratio (2.31) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.