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Finding the Third Proportional to 306,965 and 664,373

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Solution

The third proportional to 306,965 and 664,373 is: 1,437,921.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    306,965 : 664,373 = 664,373 : x
  2. Step 2: Convert to fraction form
    306,965/664,373 = 664,373/x
  3. Step 3: Cross multiply
    306,965x = 664,373 × 664,373
  4. Step 4: Simplify right side
    306,965x = 441,391,483,129
  5. Step 5: Solve for x
    x = 441,391,483,129/306,965
  6. Step 6: Final answer
    x = 1,437,921.21

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.