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Finding the Third Proportional to 176,678 and 272,964

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Solution

The third proportional to 176,678 and 272,964 is: 421,723.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    176,678 : 272,964 = 272,964 : x
  2. Step 2: Convert to fraction form
    176,678/272,964 = 272,964/x
  3. Step 3: Cross multiply
    176,678x = 272,964 × 272,964
  4. Step 4: Simplify right side
    176,678x = 74,509,345,296
  5. Step 5: Solve for x
    x = 74,509,345,296/176,678
  6. Step 6: Final answer
    x = 421,723.96

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Why These Related Problems?

These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.