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Finding the Third Proportional to 285,602 and 428,187

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Solution

The third proportional to 285,602 and 428,187 is: 641,956.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    285,602 : 428,187 = 428,187 : x
  2. Step 2: Convert to fraction form
    285,602/428,187 = 428,187/x
  3. Step 3: Cross multiply
    285,602x = 428,187 × 428,187
  4. Step 4: Simplify right side
    285,602x = 183,344,106,969
  5. Step 5: Solve for x
    x = 183,344,106,969/285,602
  6. Step 6: Final answer
    x = 641,956.66

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.