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Finding the Third Proportional to 315,663.75 and 690,376.44

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Solution

The third proportional to 315,663.75 and 690,376.44 is: 1,509,896.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    315,663.75 : 690,376.44 = 690,376.44 : x
  2. Step 2: Convert to fraction form
    315,663.75/690,376.44 = 690,376.44/x
  3. Step 3: Cross multiply
    315,663.75x = 690,376.44 × 690,376.44
  4. Step 4: Simplify right side
    315,663.75x = 476,619,625,455.19
  5. Step 5: Solve for x
    x = 476,619,625,455.19/315,663.75
  6. Step 6: Final answer
    x = 1,509,896.61

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.