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Finding the Third Proportional to 239,458 and 319,527

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Solution

The third proportional to 239,458 and 319,527 is: 426,369.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    239,458 : 319,527 = 319,527 : x
  2. Step 2: Convert to fraction form
    239,458/319,527 = 319,527/x
  3. Step 3: Cross multiply
    239,458x = 319,527 × 319,527
  4. Step 4: Simplify right side
    239,458x = 102,097,503,729
  5. Step 5: Solve for x
    x = 102,097,503,729/239,458
  6. Step 6: Final answer
    x = 426,369.15

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Why These Related Problems?

These problems maintain the same ratio (1.33) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.