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Finding the Third Proportional to 305,374 and 664,958

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Solution

The third proportional to 305,374 and 664,958 is: 1,447,959.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    305,374 : 664,958 = 664,958 : x
  2. Step 2: Convert to fraction form
    305,374/664,958 = 664,958/x
  3. Step 3: Cross multiply
    305,374x = 664,958 × 664,958
  4. Step 4: Simplify right side
    305,374x = 442,169,141,764
  5. Step 5: Solve for x
    x = 442,169,141,764/305,374
  6. Step 6: Final answer
    x = 1,447,959.36

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.