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Finding the Third Proportional to 148,412 and 207,604

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Solution

The third proportional to 148,412 and 207,604 is: 290,403.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    148,412 : 207,604 = 207,604 : x
  2. Step 2: Convert to fraction form
    148,412/207,604 = 207,604/x
  3. Step 3: Cross multiply
    148,412x = 207,604 × 207,604
  4. Step 4: Simplify right side
    148,412x = 43,099,420,816
  5. Step 5: Solve for x
    x = 43,099,420,816/148,412
  6. Step 6: Final answer
    x = 290,403.88

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Why These Related Problems?

These problems maintain the same ratio (1.40) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.