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Finding the Third Proportional to 187,306 and 279,851

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Solution

The third proportional to 187,306 and 279,851 is: 418,121.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    187,306 : 279,851 = 279,851 : x
  2. Step 2: Convert to fraction form
    187,306/279,851 = 279,851/x
  3. Step 3: Cross multiply
    187,306x = 279,851 × 279,851
  4. Step 4: Simplify right side
    187,306x = 78,316,582,201
  5. Step 5: Solve for x
    x = 78,316,582,201/187,306
  6. Step 6: Final answer
    x = 418,121.05

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.