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Finding the Third Proportional to 76,613 and 178,033

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Solution

The third proportional to 76,613 and 178,033 is: 413,712.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    76,613 : 178,033 = 178,033 : x
  2. Step 2: Convert to fraction form
    76,613/178,033 = 178,033/x
  3. Step 3: Cross multiply
    76,613x = 178,033 × 178,033
  4. Step 4: Simplify right side
    76,613x = 31,695,749,089
  5. Step 5: Solve for x
    x = 31,695,749,089/76,613
  6. Step 6: Final answer
    x = 413,712.41

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Why These Related Problems?

These problems maintain the same ratio (2.32) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.