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Finding the Third Proportional to 313,466 and 477,539

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Solution

The third proportional to 313,466 and 477,539 is: 727,490.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    313,466 : 477,539 = 477,539 : x
  2. Step 2: Convert to fraction form
    313,466/477,539 = 477,539/x
  3. Step 3: Cross multiply
    313,466x = 477,539 × 477,539
  4. Step 4: Simplify right side
    313,466x = 228,043,496,521
  5. Step 5: Solve for x
    x = 228,043,496,521/313,466
  6. Step 6: Final answer
    x = 727,490.37

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Why These Related Problems?

These problems maintain the same ratio (1.52) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.