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Finding the Third Proportional to 219,054.38 and 319,965.19

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Solution

The third proportional to 219,054.38 and 319,965.19 is: 467,362.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    219,054.38 : 319,965.19 = 319,965.19 : x
  2. Step 2: Convert to fraction form
    219,054.38/319,965.19 = 319,965.19/x
  3. Step 3: Cross multiply
    219,054.38x = 319,965.19 × 319,965.19
  4. Step 4: Simplify right side
    219,054.38x = 102,377,721,211.91
  5. Step 5: Solve for x
    x = 102,377,721,211.91/219,054.38
  6. Step 6: Final answer
    x = 467,362.14

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Why These Related Problems?

These problems maintain the same ratio (1.46) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.