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Finding the Third Proportional to 453,998 and 636,265

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Solution

The third proportional to 453,998 and 636,265 is: 891,706.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    453,998 : 636,265 = 636,265 : x
  2. Step 2: Convert to fraction form
    453,998/636,265 = 636,265/x
  3. Step 3: Cross multiply
    453,998x = 636,265 × 636,265
  4. Step 4: Simplify right side
    453,998x = 404,833,150,225
  5. Step 5: Solve for x
    x = 404,833,150,225/453,998
  6. Step 6: Final answer
    x = 891,706.90

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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.