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Finding the Third Proportional to 148,155.75 and 318,795.75

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Solution

The third proportional to 148,155.75 and 318,795.75 is: 685,972.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    148,155.75 : 318,795.75 = 318,795.75 : x
  2. Step 2: Convert to fraction form
    148,155.75/318,795.75 = 318,795.75/x
  3. Step 3: Cross multiply
    148,155.75x = 318,795.75 × 318,795.75
  4. Step 4: Simplify right side
    148,155.75x = 101,630,730,218.06
  5. Step 5: Solve for x
    x = 101,630,730,218.06/148,155.75
  6. Step 6: Final answer
    x = 685,972.23

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.