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Finding the Third Proportional to 145,787 and 238,059

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Solution

The third proportional to 145,787 and 238,059 is: 388,732.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    145,787 : 238,059 = 238,059 : x
  2. Step 2: Convert to fraction form
    145,787/238,059 = 238,059/x
  3. Step 3: Cross multiply
    145,787x = 238,059 × 238,059
  4. Step 4: Simplify right side
    145,787x = 56,672,087,481
  5. Step 5: Solve for x
    x = 56,672,087,481/145,787
  6. Step 6: Final answer
    x = 388,732.11

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Why These Related Problems?

These problems maintain the same ratio (1.63) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.