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Finding the Third Proportional to 678,190.50 and 1,462,857

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Solution

The third proportional to 678,190.50 and 1,462,857 is: 3,155,382.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    678,190.50 : 1,462,857 = 1,462,857 : x
  2. Step 2: Convert to fraction form
    678,190.50/1,462,857 = 1,462,857/x
  3. Step 3: Cross multiply
    678,190.50x = 1,462,857 × 1,462,857
  4. Step 4: Simplify right side
    678,190.50x = 2,139,950,602,449
  5. Step 5: Solve for x
    x = 2,139,950,602,449/678,190.50
  6. Step 6: Final answer
    x = 3,155,382.75

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.