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Finding the Third Proportional to 285,165 and 417,379.50

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Solution

The third proportional to 285,165 and 417,379.50 is: 610,894.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    285,165 : 417,379.50 = 417,379.50 : x
  2. Step 2: Convert to fraction form
    285,165/417,379.50 = 417,379.50/x
  3. Step 3: Cross multiply
    285,165x = 417,379.50 × 417,379.50
  4. Step 4: Simplify right side
    285,165x = 174,205,647,020.25
  5. Step 5: Solve for x
    x = 174,205,647,020.25/285,165
  6. Step 6: Final answer
    x = 610,894.21

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Why These Related Problems?

These problems maintain the same ratio (1.46) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.