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Finding the Third Proportional to 318,812 and 477,604

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Solution

The third proportional to 318,812 and 477,604 is: 715,486.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    318,812 : 477,604 = 477,604 : x
  2. Step 2: Convert to fraction form
    318,812/477,604 = 477,604/x
  3. Step 3: Cross multiply
    318,812x = 477,604 × 477,604
  4. Step 4: Simplify right side
    318,812x = 228,105,580,816
  5. Step 5: Solve for x
    x = 228,105,580,816/318,812
  6. Step 6: Final answer
    x = 715,486.18

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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.