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Finding the Third Proportional to 217,848 and 478,653

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Solution

The third proportional to 217,848 and 478,653 is: 1,051,690.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    217,848 : 478,653 = 478,653 : x
  2. Step 2: Convert to fraction form
    217,848/478,653 = 478,653/x
  3. Step 3: Cross multiply
    217,848x = 478,653 × 478,653
  4. Step 4: Simplify right side
    217,848x = 229,108,694,409
  5. Step 5: Solve for x
    x = 229,108,694,409/217,848
  6. Step 6: Final answer
    x = 1,051,690.60

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Why These Related Problems?

These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.