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Finding the Third Proportional to 313,905 and 686,493

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Solution

The third proportional to 313,905 and 686,493 is: 1,501,322.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    313,905 : 686,493 = 686,493 : x
  2. Step 2: Convert to fraction form
    313,905/686,493 = 686,493/x
  3. Step 3: Cross multiply
    313,905x = 686,493 × 686,493
  4. Step 4: Simplify right side
    313,905x = 471,272,639,049
  5. Step 5: Solve for x
    x = 471,272,639,049/313,905
  6. Step 6: Final answer
    x = 1,501,322.50

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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.