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Finding the Third Proportional to 275,486 and 389,943

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Solution

The third proportional to 275,486 and 389,943 is: 551,953.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    275,486 : 389,943 = 389,943 : x
  2. Step 2: Convert to fraction form
    275,486/389,943 = 389,943/x
  3. Step 3: Cross multiply
    275,486x = 389,943 × 389,943
  4. Step 4: Simplify right side
    275,486x = 152,055,543,249
  5. Step 5: Solve for x
    x = 152,055,543,249/275,486
  6. Step 6: Final answer
    x = 551,953.80

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Why These Related Problems?

These problems maintain the same ratio (1.42) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.