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Finding the Third Proportional to 295,469 and 485,427

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Solution

The third proportional to 295,469 and 485,427 is: 797,509.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    295,469 : 485,427 = 485,427 : x
  2. Step 2: Convert to fraction form
    295,469/485,427 = 485,427/x
  3. Step 3: Cross multiply
    295,469x = 485,427 × 485,427
  4. Step 4: Simplify right side
    295,469x = 235,639,372,329
  5. Step 5: Solve for x
    x = 235,639,372,329/295,469
  6. Step 6: Final answer
    x = 797,509.63

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Why These Related Problems?

These problems maintain the same ratio (1.64) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.