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Finding the Third Proportional to 151,972 and 351,816

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Solution

The third proportional to 151,972 and 351,816 is: 814,455.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    151,972 : 351,816 = 351,816 : x
  2. Step 2: Convert to fraction form
    151,972/351,816 = 351,816/x
  3. Step 3: Cross multiply
    151,972x = 351,816 × 351,816
  4. Step 4: Simplify right side
    151,972x = 123,774,497,856
  5. Step 5: Solve for x
    x = 123,774,497,856/151,972
  6. Step 6: Final answer
    x = 814,455.94

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Why These Related Problems?

These problems maintain the same ratio (2.32) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.