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Finding the Third Proportional to 177,912 and 390,816

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Solution

The third proportional to 177,912 and 390,816 is: 858,498.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    177,912 : 390,816 = 390,816 : x
  2. Step 2: Convert to fraction form
    177,912/390,816 = 390,816/x
  3. Step 3: Cross multiply
    177,912x = 390,816 × 390,816
  4. Step 4: Simplify right side
    177,912x = 152,737,145,856
  5. Step 5: Solve for x
    x = 152,737,145,856/177,912
  6. Step 6: Final answer
    x = 858,498.28

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Why These Related Problems?

These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.