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Finding the Third Proportional to 215,890.31 and 301,897.13

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Solution

The third proportional to 215,890.31 and 301,897.13 is: 422,167.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    215,890.31 : 301,897.13 = 301,897.13 : x
  2. Step 2: Convert to fraction form
    215,890.31/301,897.13 = 301,897.13/x
  3. Step 3: Cross multiply
    215,890.31x = 301,897.13 × 301,897.13
  4. Step 4: Simplify right side
    215,890.31x = 91,141,874,083.27
  5. Step 5: Solve for x
    x = 91,141,874,083.27/215,890.31
  6. Step 6: Final answer
    x = 422,167.50

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Why These Related Problems?

These problems maintain the same ratio (1.40) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.