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Finding the Third Proportional to 158,836 and 343,784

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Solution

The third proportional to 158,836 and 343,784 is: 744,084.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    158,836 : 343,784 = 343,784 : x
  2. Step 2: Convert to fraction form
    158,836/343,784 = 343,784/x
  3. Step 3: Cross multiply
    158,836x = 343,784 × 343,784
  4. Step 4: Simplify right side
    158,836x = 118,187,438,656
  5. Step 5: Solve for x
    x = 118,187,438,656/158,836
  6. Step 6: Final answer
    x = 744,084.71

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.