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Finding the Third Proportional to 678,840.75 and 1,413,995.06

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Solution

The third proportional to 678,840.75 and 1,413,995.06 is: 2,945,288.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    678,840.75 : 1,413,995.06 = 1,413,995.06 : x
  2. Step 2: Convert to fraction form
    678,840.75/1,413,995.06 = 1,413,995.06/x
  3. Step 3: Cross multiply
    678,840.75x = 1,413,995.06 × 1,413,995.06
  4. Step 4: Simplify right side
    678,840.75x = 1,999,382,036,774.38
  5. Step 5: Solve for x
    x = 1,999,382,036,774.38/678,840.75
  6. Step 6: Final answer
    x = 2,945,288.77

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Why These Related Problems?

These problems maintain the same ratio (2.08) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.