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Finding the Third Proportional to 678,642 and 1,049,845

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Solution

The third proportional to 678,642 and 1,049,845 is: 1,624,088.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    678,642 : 1,049,845 = 1,049,845 : x
  2. Step 2: Convert to fraction form
    678,642/1,049,845 = 1,049,845/x
  3. Step 3: Cross multiply
    678,642x = 1,049,845 × 1,049,845
  4. Step 4: Simplify right side
    678,642x = 1,102,174,524,025
  5. Step 5: Solve for x
    x = 1,102,174,524,025/678,642
  6. Step 6: Final answer
    x = 1,624,088.29

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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.