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Finding the Third Proportional to 148,982 and 319,292

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Solution

The third proportional to 148,982 and 319,292 is: 684,293.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    148,982 : 319,292 = 319,292 : x
  2. Step 2: Convert to fraction form
    148,982/319,292 = 319,292/x
  3. Step 3: Cross multiply
    148,982x = 319,292 × 319,292
  4. Step 4: Simplify right side
    148,982x = 101,947,381,264
  5. Step 5: Solve for x
    x = 101,947,381,264/148,982
  6. Step 6: Final answer
    x = 684,293.28

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.