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Finding the Third Proportional to 219,029 and 470,782

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Solution

The third proportional to 219,029 and 470,782 is: 1,011,901.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    219,029 : 470,782 = 470,782 : x
  2. Step 2: Convert to fraction form
    219,029/470,782 = 470,782/x
  3. Step 3: Cross multiply
    219,029x = 470,782 × 470,782
  4. Step 4: Simplify right side
    219,029x = 221,635,691,524
  5. Step 5: Solve for x
    x = 221,635,691,524/219,029
  6. Step 6: Final answer
    x = 1,011,901.13

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.