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Finding the Third Proportional to 423,916 and 636,693

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Solution

The third proportional to 423,916 and 636,693 is: 956,269.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    423,916 : 636,693 = 636,693 : x
  2. Step 2: Convert to fraction form
    423,916/636,693 = 636,693/x
  3. Step 3: Cross multiply
    423,916x = 636,693 × 636,693
  4. Step 4: Simplify right side
    423,916x = 405,377,976,249
  5. Step 5: Solve for x
    x = 405,377,976,249/423,916
  6. Step 6: Final answer
    x = 956,269.58

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.