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Finding the Third Proportional to 306,942 and 650,388

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Solution

The third proportional to 306,942 and 650,388 is: 1,378,125.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    306,942 : 650,388 = 650,388 : x
  2. Step 2: Convert to fraction form
    306,942/650,388 = 650,388/x
  3. Step 3: Cross multiply
    306,942x = 650,388 × 650,388
  4. Step 4: Simplify right side
    306,942x = 423,004,550,544
  5. Step 5: Solve for x
    x = 423,004,550,544/306,942
  6. Step 6: Final answer
    x = 1,378,125.35

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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.