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Finding the Third Proportional to 313,896.75 and 686,478

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Solution

The third proportional to 313,896.75 and 686,478 is: 1,501,296.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    313,896.75 : 686,478 = 686,478 : x
  2. Step 2: Convert to fraction form
    313,896.75/686,478 = 686,478/x
  3. Step 3: Cross multiply
    313,896.75x = 686,478 × 686,478
  4. Step 4: Simplify right side
    313,896.75x = 471,252,044,484
  5. Step 5: Solve for x
    x = 471,252,044,484/313,896.75
  6. Step 6: Final answer
    x = 1,501,296.35

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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.