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Finding the Third Proportional to 214,123.50 and 319,936.50

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Solution

The third proportional to 214,123.50 and 319,936.50 is: 478,038.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    214,123.50 : 319,936.50 = 319,936.50 : x
  2. Step 2: Convert to fraction form
    214,123.50/319,936.50 = 319,936.50/x
  3. Step 3: Cross multiply
    214,123.50x = 319,936.50 × 319,936.50
  4. Step 4: Simplify right side
    214,123.50x = 102,359,364,032.25
  5. Step 5: Solve for x
    x = 102,359,364,032.25/214,123.50
  6. Step 6: Final answer
    x = 478,038.91

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.