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Finding the Third Proportional to 318,814 and 477,607

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Solution

The third proportional to 318,814 and 477,607 is: 715,490.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    318,814 : 477,607 = 477,607 : x
  2. Step 2: Convert to fraction form
    318,814/477,607 = 477,607/x
  3. Step 3: Cross multiply
    318,814x = 477,607 × 477,607
  4. Step 4: Simplify right side
    318,814x = 228,108,446,449
  5. Step 5: Solve for x
    x = 228,108,446,449/318,814
  6. Step 6: Final answer
    x = 715,490.68

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.