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Finding the Third Proportional to 450,106 and 636,877

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Solution

The third proportional to 450,106 and 636,877 is: 901,148.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    450,106 : 636,877 = 636,877 : x
  2. Step 2: Convert to fraction form
    450,106/636,877 = 636,877/x
  3. Step 3: Cross multiply
    450,106x = 636,877 × 636,877
  4. Step 4: Simplify right side
    450,106x = 405,612,313,129
  5. Step 5: Solve for x
    x = 405,612,313,129/450,106
  6. Step 6: Final answer
    x = 901,148.43

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Why These Related Problems?

These problems maintain the same ratio (1.41) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.