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Finding the Third Proportional to 285,397 and 419,820

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Solution

The third proportional to 285,397 and 419,820 is: 617,556.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    285,397 : 419,820 = 419,820 : x
  2. Step 2: Convert to fraction form
    285,397/419,820 = 419,820/x
  3. Step 3: Cross multiply
    285,397x = 419,820 × 419,820
  4. Step 4: Simplify right side
    285,397x = 176,248,832,400
  5. Step 5: Solve for x
    x = 176,248,832,400/285,397
  6. Step 6: Final answer
    x = 617,556.71

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These problems maintain the same ratio (1.47) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.