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Finding the Third Proportional to 447,357 and 677,552

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Solution

The third proportional to 447,357 and 677,552 is: 1,026,197.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    447,357 : 677,552 = 677,552 : x
  2. Step 2: Convert to fraction form
    447,357/677,552 = 677,552/x
  3. Step 3: Cross multiply
    447,357x = 677,552 × 677,552
  4. Step 4: Simplify right side
    447,357x = 459,076,712,704
  5. Step 5: Solve for x
    x = 459,076,712,704/447,357
  6. Step 6: Final answer
    x = 1,026,197.67

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.