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Finding the Third Proportional to 415,642 and 644,848

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Solution

The third proportional to 415,642 and 644,848 is: 1,000,449.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    415,642 : 644,848 = 644,848 : x
  2. Step 2: Convert to fraction form
    415,642/644,848 = 644,848/x
  3. Step 3: Cross multiply
    415,642x = 644,848 × 644,848
  4. Step 4: Simplify right side
    415,642x = 415,828,943,104
  5. Step 5: Solve for x
    x = 415,828,943,104/415,642
  6. Step 6: Final answer
    x = 1,000,449.77

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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.