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Finding the Third Proportional to 177,862 and 273,353

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Solution

The third proportional to 177,862 and 273,353 is: 420,111.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    177,862 : 273,353 = 273,353 : x
  2. Step 2: Convert to fraction form
    177,862/273,353 = 273,353/x
  3. Step 3: Cross multiply
    177,862x = 273,353 × 273,353
  4. Step 4: Simplify right side
    177,862x = 74,721,862,609
  5. Step 5: Solve for x
    x = 74,721,862,609/177,862
  6. Step 6: Final answer
    x = 420,111.45

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Why These Related Problems?

These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.