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Finding the Third Proportional to 215,421 and 470,974

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Solution

The third proportional to 215,421 and 470,974 is: 1,029,688.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    215,421 : 470,974 = 470,974 : x
  2. Step 2: Convert to fraction form
    215,421/470,974 = 470,974/x
  3. Step 3: Cross multiply
    215,421x = 470,974 × 470,974
  4. Step 4: Simplify right side
    215,421x = 221,816,508,676
  5. Step 5: Solve for x
    x = 221,816,508,676/215,421
  6. Step 6: Final answer
    x = 1,029,688.42

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.