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Finding the Third Proportional to 151,284 and 322,440

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Solution

The third proportional to 151,284 and 322,440 is: 687,234.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    151,284 : 322,440 = 322,440 : x
  2. Step 2: Convert to fraction form
    151,284/322,440 = 322,440/x
  3. Step 3: Cross multiply
    151,284x = 322,440 × 322,440
  4. Step 4: Simplify right side
    151,284x = 103,967,553,600
  5. Step 5: Solve for x
    x = 103,967,553,600/151,284
  6. Step 6: Final answer
    x = 687,234.30

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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.