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Finding the Third Proportional to 395,172 and 612,816

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Solution

The third proportional to 395,172 and 612,816 is: 950,329.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    395,172 : 612,816 = 612,816 : x
  2. Step 2: Convert to fraction form
    395,172/612,816 = 612,816/x
  3. Step 3: Cross multiply
    395,172x = 612,816 × 612,816
  4. Step 4: Simplify right side
    395,172x = 375,543,449,856
  5. Step 5: Solve for x
    x = 375,543,449,856/395,172
  6. Step 6: Final answer
    x = 950,329.10

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.