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Finding the Third Proportional to 142,982 and 308,125

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Solution

The third proportional to 142,982 and 308,125 is: 664,006.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    142,982 : 308,125 = 308,125 : x
  2. Step 2: Convert to fraction form
    142,982/308,125 = 308,125/x
  3. Step 3: Cross multiply
    142,982x = 308,125 × 308,125
  4. Step 4: Simplify right side
    142,982x = 94,941,015,625
  5. Step 5: Solve for x
    x = 94,941,015,625/142,982
  6. Step 6: Final answer
    x = 664,006.77

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.