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Finding the Third Proportional to 317,963.81 and 691,147.69

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Solution

The third proportional to 317,963.81 and 691,147.69 is: 1,502,325.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    317,963.81 : 691,147.69 = 691,147.69 : x
  2. Step 2: Convert to fraction form
    317,963.81/691,147.69 = 691,147.69/x
  3. Step 3: Cross multiply
    317,963.81x = 691,147.69 × 691,147.69
  4. Step 4: Simplify right side
    317,963.81x = 477,685,125,936.60
  5. Step 5: Solve for x
    x = 477,685,125,936.60/317,963.81
  6. Step 6: Final answer
    x = 1,502,325.44

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.