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Finding the Third Proportional to 177,580 and 390,151

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Solution

The third proportional to 177,580 and 390,151 is: 857,178.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    177,580 : 390,151 = 390,151 : x
  2. Step 2: Convert to fraction form
    177,580/390,151 = 390,151/x
  3. Step 3: Cross multiply
    177,580x = 390,151 × 390,151
  4. Step 4: Simplify right side
    177,580x = 152,217,802,801
  5. Step 5: Solve for x
    x = 152,217,802,801/177,580
  6. Step 6: Final answer
    x = 857,178.75

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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.