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Finding the Third Proportional to 151,264 and 322,396

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Solution

The third proportional to 151,264 and 322,396 is: 687,137.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    151,264 : 322,396 = 322,396 : x
  2. Step 2: Convert to fraction form
    151,264/322,396 = 322,396/x
  3. Step 3: Cross multiply
    151,264x = 322,396 × 322,396
  4. Step 4: Simplify right side
    151,264x = 103,939,180,816
  5. Step 5: Solve for x
    x = 103,939,180,816/151,264
  6. Step 6: Final answer
    x = 687,137.59

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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.