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Finding the Third Proportional to 444,890.81 and 689,455.13

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Solution

The third proportional to 444,890.81 and 689,455.13 is: 1,068,460.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    444,890.81 : 689,455.13 = 689,455.13 : x
  2. Step 2: Convert to fraction form
    444,890.81/689,455.13 = 689,455.13/x
  3. Step 3: Cross multiply
    444,890.81x = 689,455.13 × 689,455.13
  4. Step 4: Simplify right side
    444,890.81x = 475,348,369,388.77
  5. Step 5: Solve for x
    x = 475,348,369,388.77/444,890.81
  6. Step 6: Final answer
    x = 1,068,460.75

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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.