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Finding the Third Proportional to 177,906 and 390,801

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Solution

The third proportional to 177,906 and 390,801 is: 858,461.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    177,906 : 390,801 = 390,801 : x
  2. Step 2: Convert to fraction form
    177,906/390,801 = 390,801/x
  3. Step 3: Cross multiply
    177,906x = 390,801 × 390,801
  4. Step 4: Simplify right side
    177,906x = 152,725,421,601
  5. Step 5: Solve for x
    x = 152,725,421,601/177,906
  6. Step 6: Final answer
    x = 858,461.33

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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.