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Finding the Third Proportional to 145,147.50 and 318,177

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Solution

The third proportional to 145,147.50 and 318,177 is: 697,473.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    145,147.50 : 318,177 = 318,177 : x
  2. Step 2: Convert to fraction form
    145,147.50/318,177 = 318,177/x
  3. Step 3: Cross multiply
    145,147.50x = 318,177 × 318,177
  4. Step 4: Simplify right side
    145,147.50x = 101,236,603,329
  5. Step 5: Solve for x
    x = 101,236,603,329/145,147.50
  6. Step 6: Final answer
    x = 697,473.97

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.