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Finding the Third Proportional to 208,426 and 454,987

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Solution

The third proportional to 208,426 and 454,987 is: 993,221.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    208,426 : 454,987 = 454,987 : x
  2. Step 2: Convert to fraction form
    208,426/454,987 = 454,987/x
  3. Step 3: Cross multiply
    208,426x = 454,987 × 454,987
  4. Step 4: Simplify right side
    208,426x = 207,013,170,169
  5. Step 5: Solve for x
    x = 207,013,170,169/208,426
  6. Step 6: Final answer
    x = 993,221.43

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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.