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Finding the Third Proportional to 146,440.50 and 319,737

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Solution

The third proportional to 146,440.50 and 319,737 is: 698,111.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    146,440.50 : 319,737 = 319,737 : x
  2. Step 2: Convert to fraction form
    146,440.50/319,737 = 319,737/x
  3. Step 3: Cross multiply
    146,440.50x = 319,737 × 319,737
  4. Step 4: Simplify right side
    146,440.50x = 102,231,749,169
  5. Step 5: Solve for x
    x = 102,231,749,169/146,440.50
  6. Step 6: Final answer
    x = 698,111.17

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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.