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Finding the Third Proportional to 436,786 and 678,505

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Solution

The third proportional to 436,786 and 678,505 is: 1,053,992.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    436,786 : 678,505 = 678,505 : x
  2. Step 2: Convert to fraction form
    436,786/678,505 = 678,505/x
  3. Step 3: Cross multiply
    436,786x = 678,505 × 678,505
  4. Step 4: Simplify right side
    436,786x = 460,369,035,025
  5. Step 5: Solve for x
    x = 460,369,035,025/436,786
  6. Step 6: Final answer
    x = 1,053,992.20

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.