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Finding the Third Proportional to 148,539.50 and 309,318

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Solution

The third proportional to 148,539.50 and 309,318 is: 644,122.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    148,539.50 : 309,318 = 309,318 : x
  2. Step 2: Convert to fraction form
    148,539.50/309,318 = 309,318/x
  3. Step 3: Cross multiply
    148,539.50x = 309,318 × 309,318
  4. Step 4: Simplify right side
    148,539.50x = 95,677,625,124
  5. Step 5: Solve for x
    x = 95,677,625,124/148,539.50
  6. Step 6: Final answer
    x = 644,122.44

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Why These Related Problems?

These problems maintain the same ratio (2.08) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.