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Finding the Third Proportional to 287,320 and 454,734

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Solution

The third proportional to 287,320 and 454,734 is: 719,695.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    287,320 : 454,734 = 454,734 : x
  2. Step 2: Convert to fraction form
    287,320/454,734 = 454,734/x
  3. Step 3: Cross multiply
    287,320x = 454,734 × 454,734
  4. Step 4: Simplify right side
    287,320x = 206,783,010,756
  5. Step 5: Solve for x
    x = 206,783,010,756/287,320
  6. Step 6: Final answer
    x = 719,695.85

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Why These Related Problems?

These problems maintain the same ratio (1.58) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.