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Finding the Third Proportional to 149,048 and 319,424

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Solution

The third proportional to 149,048 and 319,424 is: 684,555.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    149,048 : 319,424 = 319,424 : x
  2. Step 2: Convert to fraction form
    149,048/319,424 = 319,424/x
  3. Step 3: Cross multiply
    149,048x = 319,424 × 319,424
  4. Step 4: Simplify right side
    149,048x = 102,031,691,776
  5. Step 5: Solve for x
    x = 102,031,691,776/149,048
  6. Step 6: Final answer
    x = 684,555.93

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.