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Finding the Third Proportional to 444,658.50 and 687,804.75

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Solution

The third proportional to 444,658.50 and 687,804.75 is: 1,063,907.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    444,658.50 : 687,804.75 = 687,804.75 : x
  2. Step 2: Convert to fraction form
    444,658.50/687,804.75 = 687,804.75/x
  3. Step 3: Cross multiply
    444,658.50x = 687,804.75 × 687,804.75
  4. Step 4: Simplify right side
    444,658.50x = 473,075,374,122.56
  5. Step 5: Solve for x
    x = 473,075,374,122.56/444,658.50
  6. Step 6: Final answer
    x = 1,063,907.19

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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.