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Finding the Third Proportional to 313,445 and 477,511

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Solution

The third proportional to 313,445 and 477,511 is: 727,453.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    313,445 : 477,511 = 477,511 : x
  2. Step 2: Convert to fraction form
    313,445/477,511 = 477,511/x
  3. Step 3: Cross multiply
    313,445x = 477,511 × 477,511
  4. Step 4: Simplify right side
    313,445x = 228,016,755,121
  5. Step 5: Solve for x
    x = 228,016,755,121/313,445
  6. Step 6: Final answer
    x = 727,453.80

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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.