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Finding the Third Proportional to 148,348.13 and 318,816

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Solution

The third proportional to 148,348.13 and 318,816 is: 685,169.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    148,348.13 : 318,816 = 318,816 : x
  2. Step 2: Convert to fraction form
    148,348.13/318,816 = 318,816/x
  3. Step 3: Cross multiply
    148,348.13x = 318,816 × 318,816
  4. Step 4: Simplify right side
    148,348.13x = 101,643,641,856
  5. Step 5: Solve for x
    x = 101,643,641,856/148,348.13
  6. Step 6: Final answer
    x = 685,169.71

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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.