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Finding the Third Proportional to 456,458 and 605,811

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Solution

The third proportional to 456,458 and 605,811 is: 804,032.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    456,458 : 605,811 = 605,811 : x
  2. Step 2: Convert to fraction form
    456,458/605,811 = 605,811/x
  3. Step 3: Cross multiply
    456,458x = 605,811 × 605,811
  4. Step 4: Simplify right side
    456,458x = 367,006,967,721
  5. Step 5: Solve for x
    x = 367,006,967,721/456,458
  6. Step 6: Final answer
    x = 804,032.28

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Why These Related Problems?

These problems maintain the same ratio (1.33) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.