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Finding the Third Proportional to 277,874 and 430,539

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Solution

The third proportional to 277,874 and 430,539 is: 667,078.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    277,874 : 430,539 = 430,539 : x
  2. Step 2: Convert to fraction form
    277,874/430,539 = 430,539/x
  3. Step 3: Cross multiply
    277,874x = 430,539 × 430,539
  4. Step 4: Simplify right side
    277,874x = 185,363,830,521
  5. Step 5: Solve for x
    x = 185,363,830,521/277,874
  6. Step 6: Final answer
    x = 667,078.71

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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.