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Finding the Third Proportional to 355,792 and 550,311

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Solution

The third proportional to 355,792 and 550,311 is: 851,177.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    355,792 : 550,311 = 550,311 : x
  2. Step 2: Convert to fraction form
    355,792/550,311 = 550,311/x
  3. Step 3: Cross multiply
    355,792x = 550,311 × 550,311
  4. Step 4: Simplify right side
    355,792x = 302,842,196,721
  5. Step 5: Solve for x
    x = 302,842,196,721/355,792
  6. Step 6: Final answer
    x = 851,177.65

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.