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Finding the Third Proportional to 176,370 and 387,732

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Solution

The third proportional to 176,370 and 387,732 is: 852,390.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    176,370 : 387,732 = 387,732 : x
  2. Step 2: Convert to fraction form
    176,370/387,732 = 387,732/x
  3. Step 3: Cross multiply
    176,370x = 387,732 × 387,732
  4. Step 4: Simplify right side
    176,370x = 150,336,103,824
  5. Step 5: Solve for x
    x = 150,336,103,824/176,370
  6. Step 6: Final answer
    x = 852,390.45

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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.