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Finding the Third Proportional to 178,320 and 388,628

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Solution

The third proportional to 178,320 and 388,628 is: 846,970.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    178,320 : 388,628 = 388,628 : x
  2. Step 2: Convert to fraction form
    178,320/388,628 = 388,628/x
  3. Step 3: Cross multiply
    178,320x = 388,628 × 388,628
  4. Step 4: Simplify right side
    178,320x = 151,031,722,384
  5. Step 5: Solve for x
    x = 151,031,722,384/178,320
  6. Step 6: Final answer
    x = 846,970.18

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.