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Finding the Third Proportional to 414,303 and 639,770

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Solution

The third proportional to 414,303 and 639,770 is: 987,937.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    414,303 : 639,770 = 639,770 : x
  2. Step 2: Convert to fraction form
    414,303/639,770 = 639,770/x
  3. Step 3: Cross multiply
    414,303x = 639,770 × 639,770
  4. Step 4: Simplify right side
    414,303x = 409,305,652,900
  5. Step 5: Solve for x
    x = 409,305,652,900/414,303
  6. Step 6: Final answer
    x = 987,937.94

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Why These Related Problems?

These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.