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Finding the Third Proportional to 291,345.75 and 686,775.38

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Solution

The third proportional to 291,345.75 and 686,775.38 is: 1,618,902.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    291,345.75 : 686,775.38 = 686,775.38 : x
  2. Step 2: Convert to fraction form
    291,345.75/686,775.38 = 686,775.38/x
  3. Step 3: Cross multiply
    291,345.75x = 686,775.38 × 686,775.38
  4. Step 4: Simplify right side
    291,345.75x = 471,660,415,706.39
  5. Step 5: Solve for x
    x = 471,660,415,706.39/291,345.75
  6. Step 6: Final answer
    x = 1,618,902.68

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Why These Related Problems?

These problems maintain the same ratio (2.36) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.