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Finding the Third Proportional to 289,886 and 417,530

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Solution

The third proportional to 289,886 and 417,530 is: 601,378.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    289,886 : 417,530 = 417,530 : x
  2. Step 2: Convert to fraction form
    289,886/417,530 = 417,530/x
  3. Step 3: Cross multiply
    289,886x = 417,530 × 417,530
  4. Step 4: Simplify right side
    289,886x = 174,331,300,900
  5. Step 5: Solve for x
    x = 174,331,300,900/289,886
  6. Step 6: Final answer
    x = 601,378.82

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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.