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Finding the Third Proportional to 148,381 and 328,783

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Solution

The third proportional to 148,381 and 328,783 is: 728,518.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    148,381 : 328,783 = 328,783 : x
  2. Step 2: Convert to fraction form
    148,381/328,783 = 328,783/x
  3. Step 3: Cross multiply
    148,381x = 328,783 × 328,783
  4. Step 4: Simplify right side
    148,381x = 108,098,261,089
  5. Step 5: Solve for x
    x = 108,098,261,089/148,381
  6. Step 6: Final answer
    x = 728,518.21

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Why These Related Problems?

These problems maintain the same ratio (2.22) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.