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Finding the Third Proportional to 361,541.25 and 690,277.50

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Solution

The third proportional to 361,541.25 and 690,277.50 is: 1,317,921.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    361,541.25 : 690,277.50 = 690,277.50 : x
  2. Step 2: Convert to fraction form
    361,541.25/690,277.50 = 690,277.50/x
  3. Step 3: Cross multiply
    361,541.25x = 690,277.50 × 690,277.50
  4. Step 4: Simplify right side
    361,541.25x = 476,483,027,006.25
  5. Step 5: Solve for x
    x = 476,483,027,006.25/361,541.25
  6. Step 6: Final answer
    x = 1,317,921.61

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Why These Related Problems?

These problems maintain the same ratio (1.91) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.