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Finding the Third Proportional to 217,363.50 and 319,748.34

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Solution

The third proportional to 217,363.50 and 319,748.34 is: 470,359.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    217,363.50 : 319,748.34 = 319,748.34 : x
  2. Step 2: Convert to fraction form
    217,363.50/319,748.34 = 319,748.34/x
  3. Step 3: Cross multiply
    217,363.50x = 319,748.34 × 319,748.34
  4. Step 4: Simplify right side
    217,363.50x = 102,239,003,330.87
  5. Step 5: Solve for x
    x = 102,239,003,330.87/217,363.50
  6. Step 6: Final answer
    x = 470,359.57

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Why These Related Problems?

These problems maintain the same ratio (1.47) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.