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Finding the Third Proportional to 285,978 and 621,756

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Solution

The third proportional to 285,978 and 621,756 is: 1,351,784.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    285,978 : 621,756 = 621,756 : x
  2. Step 2: Convert to fraction form
    285,978/621,756 = 621,756/x
  3. Step 3: Cross multiply
    285,978x = 621,756 × 621,756
  4. Step 4: Simplify right side
    285,978x = 386,580,523,536
  5. Step 5: Solve for x
    x = 386,580,523,536/285,978
  6. Step 6: Final answer
    x = 1,351,784.14

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.