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Finding the Third Proportional to 161,617 and 351,718

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Solution

The third proportional to 161,617 and 351,718 is: 765,424.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    161,617 : 351,718 = 351,718 : x
  2. Step 2: Convert to fraction form
    161,617/351,718 = 351,718/x
  3. Step 3: Cross multiply
    161,617x = 351,718 × 351,718
  4. Step 4: Simplify right side
    161,617x = 123,705,551,524
  5. Step 5: Solve for x
    x = 123,705,551,524/161,617
  6. Step 6: Final answer
    x = 765,424.13

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.