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Finding the Third Proportional to 285,574 and 634,975

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Solution

The third proportional to 285,574 and 634,975 is: 1,411,869.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    285,574 : 634,975 = 634,975 : x
  2. Step 2: Convert to fraction form
    285,574/634,975 = 634,975/x
  3. Step 3: Cross multiply
    285,574x = 634,975 × 634,975
  4. Step 4: Simplify right side
    285,574x = 403,193,250,625
  5. Step 5: Solve for x
    x = 403,193,250,625/285,574
  6. Step 6: Final answer
    x = 1,411,869.61

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Why These Related Problems?

These problems maintain the same ratio (2.22) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.