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Finding the Third Proportional to 76,438 and 158,276

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Solution

The third proportional to 76,438 and 158,276 is: 327,733.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    76,438 : 158,276 = 158,276 : x
  2. Step 2: Convert to fraction form
    76,438/158,276 = 158,276/x
  3. Step 3: Cross multiply
    76,438x = 158,276 × 158,276
  4. Step 4: Simplify right side
    76,438x = 25,051,292,176
  5. Step 5: Solve for x
    x = 25,051,292,176/76,438
  6. Step 6: Final answer
    x = 327,733.49

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Why These Related Problems?

These problems maintain the same ratio (2.07) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.