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Finding the Third Proportional to 422,032.50 and 976,166

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Solution

The third proportional to 422,032.50 and 976,166 is: 2,257,883.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    422,032.50 : 976,166 = 976,166 : x
  2. Step 2: Convert to fraction form
    422,032.50/976,166 = 976,166/x
  3. Step 3: Cross multiply
    422,032.50x = 976,166 × 976,166
  4. Step 4: Simplify right side
    422,032.50x = 952,900,059,556
  5. Step 5: Solve for x
    x = 952,900,059,556/422,032.50
  6. Step 6: Final answer
    x = 2,257,883.12

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Why These Related Problems?

These problems maintain the same ratio (2.31) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.