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Finding the Third Proportional to 445,165.56 and 689,739.36

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Solution

The third proportional to 445,165.56 and 689,739.36 is: 1,068,681.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    445,165.56 : 689,739.36 = 689,739.36 : x
  2. Step 2: Convert to fraction form
    445,165.56/689,739.36 = 689,739.36/x
  3. Step 3: Cross multiply
    445,165.56x = 689,739.36 × 689,739.36
  4. Step 4: Simplify right side
    445,165.56x = 475,740,389,259.62
  5. Step 5: Solve for x
    x = 475,740,389,259.62/445,165.56
  6. Step 6: Final answer
    x = 1,068,681.93

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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.