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Finding the Third Proportional to 289,881 and 417,523.50

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Solution

The third proportional to 289,881 and 417,523.50 is: 601,370.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    289,881 : 417,523.50 = 417,523.50 : x
  2. Step 2: Convert to fraction form
    289,881/417,523.50 = 417,523.50/x
  3. Step 3: Cross multiply
    289,881x = 417,523.50 × 417,523.50
  4. Step 4: Simplify right side
    289,881x = 174,325,873,052.25
  5. Step 5: Solve for x
    x = 174,325,873,052.25/289,881
  6. Step 6: Final answer
    x = 601,370.47

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Why These Related Problems?

These problems maintain the same ratio (1.44) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.