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Finding the Third Proportional to 146,437.50 and 319,731

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Solution

The third proportional to 146,437.50 and 319,731 is: 698,099.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    146,437.50 : 319,731 = 319,731 : x
  2. Step 2: Convert to fraction form
    146,437.50/319,731 = 319,731/x
  3. Step 3: Cross multiply
    146,437.50x = 319,731 × 319,731
  4. Step 4: Simplify right side
    146,437.50x = 102,227,912,361
  5. Step 5: Solve for x
    x = 102,227,912,361/146,437.50
  6. Step 6: Final answer
    x = 698,099.27

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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.