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Finding the Third Proportional to 453,969 and 636,226

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Solution

The third proportional to 453,969 and 636,226 is: 891,654.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    453,969 : 636,226 = 636,226 : x
  2. Step 2: Convert to fraction form
    453,969/636,226 = 636,226/x
  3. Step 3: Cross multiply
    453,969x = 636,226 × 636,226
  4. Step 4: Simplify right side
    453,969x = 404,783,523,076
  5. Step 5: Solve for x
    x = 404,783,523,076/453,969
  6. Step 6: Final answer
    x = 891,654.55

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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.