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Finding the Third Proportional to 243,048 and 379,928

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Solution

The third proportional to 243,048 and 379,928 is: 593,896.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    243,048 : 379,928 = 379,928 : x
  2. Step 2: Convert to fraction form
    243,048/379,928 = 379,928/x
  3. Step 3: Cross multiply
    243,048x = 379,928 × 379,928
  4. Step 4: Simplify right side
    243,048x = 144,345,285,184
  5. Step 5: Solve for x
    x = 144,345,285,184/243,048
  6. Step 6: Final answer
    x = 593,896.21

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Why These Related Problems?

These problems maintain the same ratio (1.56) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.