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Finding the Third Proportional to 177,564 and 390,120

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Solution

The third proportional to 177,564 and 390,120 is: 857,119.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    177,564 : 390,120 = 390,120 : x
  2. Step 2: Convert to fraction form
    177,564/390,120 = 390,120/x
  3. Step 3: Cross multiply
    177,564x = 390,120 × 390,120
  4. Step 4: Simplify right side
    177,564x = 152,193,614,400
  5. Step 5: Solve for x
    x = 152,193,614,400/177,564
  6. Step 6: Final answer
    x = 857,119.77

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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.