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Finding the Third Proportional to 284,035 and 426,789

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Solution

The third proportional to 284,035 and 426,789 is: 641,290.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    284,035 : 426,789 = 426,789 : x
  2. Step 2: Convert to fraction form
    284,035/426,789 = 426,789/x
  3. Step 3: Cross multiply
    284,035x = 426,789 × 426,789
  4. Step 4: Simplify right side
    284,035x = 182,148,850,521
  5. Step 5: Solve for x
    x = 182,148,850,521/284,035
  6. Step 6: Final answer
    x = 641,290.16

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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.