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Finding the Third Proportional to 149,658.75 and 306,309.38

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Solution

The third proportional to 149,658.75 and 306,309.38 is: 626,929.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    149,658.75 : 306,309.38 = 306,309.38 : x
  2. Step 2: Convert to fraction form
    149,658.75/306,309.38 = 306,309.38/x
  3. Step 3: Cross multiply
    149,658.75x = 306,309.38 × 306,309.38
  4. Step 4: Simplify right side
    149,658.75x = 93,825,433,212.89
  5. Step 5: Solve for x
    x = 93,825,433,212.89/149,658.75
  6. Step 6: Final answer
    x = 626,929.15

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Why These Related Problems?

These problems maintain the same ratio (2.05) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.