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Finding the Third Proportional to 322,110.75 and 686,878.13

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Solution

The third proportional to 322,110.75 and 686,878.13 is: 1,464,718.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    322,110.75 : 686,878.13 = 686,878.13 : x
  2. Step 2: Convert to fraction form
    322,110.75/686,878.13 = 686,878.13/x
  3. Step 3: Cross multiply
    322,110.75x = 686,878.13 × 686,878.13
  4. Step 4: Simplify right side
    322,110.75x = 471,801,558,603.52
  5. Step 5: Solve for x
    x = 471,801,558,603.52/322,110.75
  6. Step 6: Final answer
    x = 1,464,718.45

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Why These Related Problems?

These problems maintain the same ratio (2.13) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.