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Finding the Third Proportional to 339,377 and 702,243

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Solution

The third proportional to 339,377 and 702,243 is: 1,453,089.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    339,377 : 702,243 = 702,243 : x
  2. Step 2: Convert to fraction form
    339,377/702,243 = 702,243/x
  3. Step 3: Cross multiply
    339,377x = 702,243 × 702,243
  4. Step 4: Simplify right side
    339,377x = 493,145,231,049
  5. Step 5: Solve for x
    x = 493,145,231,049/339,377
  6. Step 6: Final answer
    x = 1,453,089.72

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Why These Related Problems?

These problems maintain the same ratio (2.07) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.