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Finding the Third Proportional to 415,848 and 643,644

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Solution

The third proportional to 415,848 and 643,644 is: 996,223.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    415,848 : 643,644 = 643,644 : x
  2. Step 2: Convert to fraction form
    415,848/643,644 = 643,644/x
  3. Step 3: Cross multiply
    415,848x = 643,644 × 643,644
  4. Step 4: Simplify right side
    415,848x = 414,277,598,736
  5. Step 5: Solve for x
    x = 414,277,598,736/415,848
  6. Step 6: Final answer
    x = 996,223.62

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.