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Finding the Third Proportional to 159,800 and 355,072

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Solution

The third proportional to 159,800 and 355,072 is: 788,961.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    159,800 : 355,072 = 355,072 : x
  2. Step 2: Convert to fraction form
    159,800/355,072 = 355,072/x
  3. Step 3: Cross multiply
    159,800x = 355,072 × 355,072
  4. Step 4: Simplify right side
    159,800x = 126,076,125,184
  5. Step 5: Solve for x
    x = 126,076,125,184/159,800
  6. Step 6: Final answer
    x = 788,961.98

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Why These Related Problems?

These problems maintain the same ratio (2.22) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.