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Finding the Third Proportional to 169,728 and 372,072

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Solution

The third proportional to 169,728 and 372,072 is: 815,643.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    169,728 : 372,072 = 372,072 : x
  2. Step 2: Convert to fraction form
    169,728/372,072 = 372,072/x
  3. Step 3: Cross multiply
    169,728x = 372,072 × 372,072
  4. Step 4: Simplify right side
    169,728x = 138,437,573,184
  5. Step 5: Solve for x
    x = 138,437,573,184/169,728
  6. Step 6: Final answer
    x = 815,643.70

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.