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Finding the Third Proportional to 172,566 and 369,720

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Solution

The third proportional to 172,566 and 369,720 is: 792,119.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    172,566 : 369,720 = 369,720 : x
  2. Step 2: Convert to fraction form
    172,566/369,720 = 369,720/x
  3. Step 3: Cross multiply
    172,566x = 369,720 × 369,720
  4. Step 4: Simplify right side
    172,566x = 136,692,878,400
  5. Step 5: Solve for x
    x = 136,692,878,400/172,566
  6. Step 6: Final answer
    x = 792,119.41

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.