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Finding the Third Proportional to 238,454 and 344,811

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Solution

The third proportional to 238,454 and 344,811 is: 498,606.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    238,454 : 344,811 = 344,811 : x
  2. Step 2: Convert to fraction form
    238,454/344,811 = 344,811/x
  3. Step 3: Cross multiply
    238,454x = 344,811 × 344,811
  4. Step 4: Simplify right side
    238,454x = 118,894,625,721
  5. Step 5: Solve for x
    x = 118,894,625,721/238,454
  6. Step 6: Final answer
    x = 498,606.13

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Why These Related Problems?

These problems maintain the same ratio (1.45) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.