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Finding the Third Proportional to 478,878 and 697,257

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Solution

The third proportional to 478,878 and 697,257 is: 1,015,221.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    478,878 : 697,257 = 697,257 : x
  2. Step 2: Convert to fraction form
    478,878/697,257 = 697,257/x
  3. Step 3: Cross multiply
    478,878x = 697,257 × 697,257
  4. Step 4: Simplify right side
    478,878x = 486,167,324,049
  5. Step 5: Solve for x
    x = 486,167,324,049/478,878
  6. Step 6: Final answer
    x = 1,015,221.67

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Why These Related Problems?

These problems maintain the same ratio (1.46) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.