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Finding the Third Proportional to 355,599 and 783,243

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Solution

The third proportional to 355,599 and 783,243 is: 1,725,172.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    355,599 : 783,243 = 783,243 : x
  2. Step 2: Convert to fraction form
    355,599/783,243 = 783,243/x
  3. Step 3: Cross multiply
    355,599x = 783,243 × 783,243
  4. Step 4: Simplify right side
    355,599x = 613,469,597,049
  5. Step 5: Solve for x
    x = 613,469,597,049/355,599
  6. Step 6: Final answer
    x = 1,725,172.45

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Why These Related Problems?

These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.