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Finding the Third Proportional to 297,201 and 451,478

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Solution

The third proportional to 297,201 and 451,478 is: 685,840.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    297,201 : 451,478 = 451,478 : x
  2. Step 2: Convert to fraction form
    297,201/451,478 = 451,478/x
  3. Step 3: Cross multiply
    297,201x = 451,478 × 451,478
  4. Step 4: Simplify right side
    297,201x = 203,832,384,484
  5. Step 5: Solve for x
    x = 203,832,384,484/297,201
  6. Step 6: Final answer
    x = 685,840.17

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Why These Related Problems?

These problems maintain the same ratio (1.52) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.