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Finding the Third Proportional to 161,458 and 351,979

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Solution

The third proportional to 161,458 and 351,979 is: 767,315.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    161,458 : 351,979 = 351,979 : x
  2. Step 2: Convert to fraction form
    161,458/351,979 = 351,979/x
  3. Step 3: Cross multiply
    161,458x = 351,979 × 351,979
  4. Step 4: Simplify right side
    161,458x = 123,889,216,441
  5. Step 5: Solve for x
    x = 123,889,216,441/161,458
  6. Step 6: Final answer
    x = 767,315.44

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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.