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Finding the Third Proportional to 444,807 and 688,486.50

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Solution

The third proportional to 444,807 and 688,486.50 is: 1,065,661.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    444,807 : 688,486.50 = 688,486.50 : x
  2. Step 2: Convert to fraction form
    444,807/688,486.50 = 688,486.50/x
  3. Step 3: Cross multiply
    444,807x = 688,486.50 × 688,486.50
  4. Step 4: Simplify right side
    444,807x = 474,013,660,682.25
  5. Step 5: Solve for x
    x = 474,013,660,682.25/444,807
  6. Step 6: Final answer
    x = 1,065,661.42

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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.