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Finding the Third Proportional to 302,702 and 636,770

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Solution

The third proportional to 302,702 and 636,770 is: 1,339,522.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    302,702 : 636,770 = 636,770 : x
  2. Step 2: Convert to fraction form
    302,702/636,770 = 636,770/x
  3. Step 3: Cross multiply
    302,702x = 636,770 × 636,770
  4. Step 4: Simplify right side
    302,702x = 405,476,032,900
  5. Step 5: Solve for x
    x = 405,476,032,900/302,702
  6. Step 6: Final answer
    x = 1,339,522.15

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Why These Related Problems?

These problems maintain the same ratio (2.10) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.