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Finding the Third Proportional to 285,604 and 428,190

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Solution

The third proportional to 285,604 and 428,190 is: 641,961.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    285,604 : 428,190 = 428,190 : x
  2. Step 2: Convert to fraction form
    285,604/428,190 = 428,190/x
  3. Step 3: Cross multiply
    285,604x = 428,190 × 428,190
  4. Step 4: Simplify right side
    285,604x = 183,346,676,100
  5. Step 5: Solve for x
    x = 183,346,676,100/285,604
  6. Step 6: Final answer
    x = 641,961.16

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