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Finding the Third Proportional to 76,448 and 156,298

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Solution

The third proportional to 76,448 and 156,298 is: 319,551.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    76,448 : 156,298 = 156,298 : x
  2. Step 2: Convert to fraction form
    76,448/156,298 = 156,298/x
  3. Step 3: Cross multiply
    76,448x = 156,298 × 156,298
  4. Step 4: Simplify right side
    76,448x = 24,429,064,804
  5. Step 5: Solve for x
    x = 24,429,064,804/76,448
  6. Step 6: Final answer
    x = 319,551.39

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Why These Related Problems?

These problems maintain the same ratio (2.04) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.