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Finding the Third Proportional to 231,356.25 and 345,125.81

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Solution

The third proportional to 231,356.25 and 345,125.81 is: 514,841.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    231,356.25 : 345,125.81 = 345,125.81 : x
  2. Step 2: Convert to fraction form
    231,356.25/345,125.81 = 345,125.81/x
  3. Step 3: Cross multiply
    231,356.25x = 345,125.81 × 345,125.81
  4. Step 4: Simplify right side
    231,356.25x = 119,111,826,453.79
  5. Step 5: Solve for x
    x = 119,111,826,453.79/231,356.25
  6. Step 6: Final answer
    x = 514,841.62

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.