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Finding the Third Proportional to 76,728 and 158,784

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Solution

The third proportional to 76,728 and 158,784 is: 328,593.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    76,728 : 158,784 = 158,784 : x
  2. Step 2: Convert to fraction form
    76,728/158,784 = 158,784/x
  3. Step 3: Cross multiply
    76,728x = 158,784 × 158,784
  4. Step 4: Simplify right side
    76,728x = 25,212,358,656
  5. Step 5: Solve for x
    x = 25,212,358,656/76,728
  6. Step 6: Final answer
    x = 328,593.98

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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.