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Finding the Third Proportional to 208,256 and 454,528

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Solution

The third proportional to 208,256 and 454,528 is: 992,027.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    208,256 : 454,528 = 454,528 : x
  2. Step 2: Convert to fraction form
    208,256/454,528 = 454,528/x
  3. Step 3: Cross multiply
    208,256x = 454,528 × 454,528
  4. Step 4: Simplify right side
    208,256x = 206,595,702,784
  5. Step 5: Solve for x
    x = 206,595,702,784/208,256
  6. Step 6: Final answer
    x = 992,027.61

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.