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Finding the Third Proportional to 215,716.50 and 470,363.63

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Solution

The third proportional to 215,716.50 and 470,363.63 is: 1,025,614.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    215,716.50 : 470,363.63 = 470,363.63 : x
  2. Step 2: Convert to fraction form
    215,716.50/470,363.63 = 470,363.63/x
  3. Step 3: Cross multiply
    215,716.50x = 470,363.63 × 470,363.63
  4. Step 4: Simplify right side
    215,716.50x = 221,241,939,723.14
  5. Step 5: Solve for x
    x = 221,241,939,723.14/215,716.50
  6. Step 6: Final answer
    x = 1,025,614.36

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.