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Finding the Third Proportional to 306,286 and 648,940

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Solution

The third proportional to 306,286 and 648,940 is: 1,374,934.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    306,286 : 648,940 = 648,940 : x
  2. Step 2: Convert to fraction form
    306,286/648,940 = 648,940/x
  3. Step 3: Cross multiply
    306,286x = 648,940 × 648,940
  4. Step 4: Simplify right side
    306,286x = 421,123,123,600
  5. Step 5: Solve for x
    x = 421,123,123,600/306,286
  6. Step 6: Final answer
    x = 1,374,934.29

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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.