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Finding the Third Proportional to 176,146 and 272,861

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Solution

The third proportional to 176,146 and 272,861 is: 422,678.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    176,146 : 272,861 = 272,861 : x
  2. Step 2: Convert to fraction form
    176,146/272,861 = 272,861/x
  3. Step 3: Cross multiply
    176,146x = 272,861 × 272,861
  4. Step 4: Simplify right side
    176,146x = 74,453,125,321
  5. Step 5: Solve for x
    x = 74,453,125,321/176,146
  6. Step 6: Final answer
    x = 422,678.49

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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.