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Finding the Third Proportional to 288,913 and 449,105.50

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Solution

The third proportional to 288,913 and 449,105.50 is: 698,119.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    288,913 : 449,105.50 = 449,105.50 : x
  2. Step 2: Convert to fraction form
    288,913/449,105.50 = 449,105.50/x
  3. Step 3: Cross multiply
    288,913x = 449,105.50 × 449,105.50
  4. Step 4: Simplify right side
    288,913x = 201,695,750,130.25
  5. Step 5: Solve for x
    x = 201,695,750,130.25/288,913
  6. Step 6: Final answer
    x = 698,119.33

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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.