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Finding the Third Proportional to 148,108.50 and 313,868.25

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Solution

The third proportional to 148,108.50 and 313,868.25 is: 665,142.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    148,108.50 : 313,868.25 = 313,868.25 : x
  2. Step 2: Convert to fraction form
    148,108.50/313,868.25 = 313,868.25/x
  3. Step 3: Cross multiply
    148,108.50x = 313,868.25 × 313,868.25
  4. Step 4: Simplify right side
    148,108.50x = 98,513,278,358.06
  5. Step 5: Solve for x
    x = 98,513,278,358.06/148,108.50
  6. Step 6: Final answer
    x = 665,142.64

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Why These Related Problems?

These problems maintain the same ratio (2.12) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.