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Finding the Third Proportional to 302,718 and 454,077

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Solution

The third proportional to 302,718 and 454,077 is: 681,115.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    302,718 : 454,077 = 454,077 : x
  2. Step 2: Convert to fraction form
    302,718/454,077 = 454,077/x
  3. Step 3: Cross multiply
    302,718x = 454,077 × 454,077
  4. Step 4: Simplify right side
    302,718x = 206,185,921,929
  5. Step 5: Solve for x
    x = 206,185,921,929/302,718
  6. Step 6: Final answer
    x = 681,115.50

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.