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Finding the Third Proportional to 447,387 and 677,595

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Solution

The third proportional to 447,387 and 677,595 is: 1,026,259.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    447,387 : 677,595 = 677,595 : x
  2. Step 2: Convert to fraction form
    447,387/677,595 = 677,595/x
  3. Step 3: Cross multiply
    447,387x = 677,595 × 677,595
  4. Step 4: Simplify right side
    447,387x = 459,134,984,025
  5. Step 5: Solve for x
    x = 459,134,984,025/447,387
  6. Step 6: Final answer
    x = 1,026,259.11

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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.