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Finding the Third Proportional to 305,135 and 664,514

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Solution

The third proportional to 305,135 and 664,514 is: 1,447,158.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    305,135 : 664,514 = 664,514 : x
  2. Step 2: Convert to fraction form
    305,135/664,514 = 664,514/x
  3. Step 3: Cross multiply
    305,135x = 664,514 × 664,514
  4. Step 4: Simplify right side
    305,135x = 441,578,856,196
  5. Step 5: Solve for x
    x = 441,578,856,196/305,135
  6. Step 6: Final answer
    x = 1,447,158.98

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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.