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Finding the Third Proportional to 213,167.25 and 307,965.38

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Solution

The third proportional to 213,167.25 and 307,965.38 is: 444,921.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    213,167.25 : 307,965.38 = 307,965.38 : x
  2. Step 2: Convert to fraction form
    213,167.25/307,965.38 = 307,965.38/x
  3. Step 3: Cross multiply
    213,167.25x = 307,965.38 × 307,965.38
  4. Step 4: Simplify right side
    213,167.25x = 94,842,672,198.89
  5. Step 5: Solve for x
    x = 94,842,672,198.89/213,167.25
  6. Step 6: Final answer
    x = 444,921.40

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Why These Related Problems?

These problems maintain the same ratio (1.44) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.