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Finding the Third Proportional to 289,171.50 and 621,807

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Solution

The third proportional to 289,171.50 and 621,807 is: 1,337,074.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    289,171.50 : 621,807 = 621,807 : x
  2. Step 2: Convert to fraction form
    289,171.50/621,807 = 621,807/x
  3. Step 3: Cross multiply
    289,171.50x = 621,807 × 621,807
  4. Step 4: Simplify right side
    289,171.50x = 386,643,945,249
  5. Step 5: Solve for x
    x = 386,643,945,249/289,171.50
  6. Step 6: Final answer
    x = 1,337,074.87

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.