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Finding the Third Proportional to 313,359 and 686,790.75

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Solution

The third proportional to 313,359 and 686,790.75 is: 1,505,243.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    313,359 : 686,790.75 = 686,790.75 : x
  2. Step 2: Convert to fraction form
    313,359/686,790.75 = 686,790.75/x
  3. Step 3: Cross multiply
    313,359x = 686,790.75 × 686,790.75
  4. Step 4: Simplify right side
    313,359x = 471,681,534,285.56
  5. Step 5: Solve for x
    x = 471,681,534,285.56/313,359
  6. Step 6: Final answer
    x = 1,505,243.30

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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.