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Finding the Third Proportional to 454,011.75 and 636,284.25

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Solution

The third proportional to 454,011.75 and 636,284.25 is: 891,733.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    454,011.75 : 636,284.25 = 636,284.25 : x
  2. Step 2: Convert to fraction form
    454,011.75/636,284.25 = 636,284.25/x
  3. Step 3: Cross multiply
    454,011.75x = 636,284.25 × 636,284.25
  4. Step 4: Simplify right side
    454,011.75x = 404,857,646,798.06
  5. Step 5: Solve for x
    x = 404,857,646,798.06/454,011.75
  6. Step 6: Final answer
    x = 891,733.85

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Why These Related Problems?

These problems maintain the same ratio (1.40) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.