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Finding the Third Proportional to 151,202 and 322,276

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Solution

The third proportional to 151,202 and 322,276 is: 686,907.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    151,202 : 322,276 = 322,276 : x
  2. Step 2: Convert to fraction form
    151,202/322,276 = 322,276/x
  3. Step 3: Cross multiply
    151,202x = 322,276 × 322,276
  4. Step 4: Simplify right side
    151,202x = 103,861,820,176
  5. Step 5: Solve for x
    x = 103,861,820,176/151,202
  6. Step 6: Final answer
    x = 686,907.71

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Why These Related Problems?

These problems maintain the same ratio (2.13) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.