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Finding the Third Proportional to 445,991.06 and 679,443.19

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Solution

The third proportional to 445,991.06 and 679,443.19 is: 1,035,094.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    445,991.06 : 679,443.19 = 679,443.19 : x
  2. Step 2: Convert to fraction form
    445,991.06/679,443.19 = 679,443.19/x
  3. Step 3: Cross multiply
    445,991.06x = 679,443.19 × 679,443.19
  4. Step 4: Simplify right side
    445,991.06x = 461,643,045,040.16
  5. Step 5: Solve for x
    x = 461,643,045,040.16/445,991.06
  6. Step 6: Final answer
    x = 1,035,094.83

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Why These Related Problems?

These problems maintain the same ratio (1.52) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.