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Finding the Third Proportional to 176,193 and 272,929.50

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Solution

The third proportional to 176,193 and 272,929.50 is: 422,777.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    176,193 : 272,929.50 = 272,929.50 : x
  2. Step 2: Convert to fraction form
    176,193/272,929.50 = 272,929.50/x
  3. Step 3: Cross multiply
    176,193x = 272,929.50 × 272,929.50
  4. Step 4: Simplify right side
    176,193x = 74,490,511,970.25
  5. Step 5: Solve for x
    x = 74,490,511,970.25/176,193
  6. Step 6: Final answer
    x = 422,777.93

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.