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Finding the Third Proportional to 217,942.13 and 470,288.91

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Solution

The third proportional to 217,942.13 and 470,288.91 is: 1,014,818.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    217,942.13 : 470,288.91 = 470,288.91 : x
  2. Step 2: Convert to fraction form
    217,942.13/470,288.91 = 470,288.91/x
  3. Step 3: Cross multiply
    217,942.13x = 470,288.91 × 470,288.91
  4. Step 4: Simplify right side
    217,942.13x = 221,171,655,341.82
  5. Step 5: Solve for x
    x = 221,171,655,341.82/217,942.13
  6. Step 6: Final answer
    x = 1,014,818.29

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.