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Finding the Third Proportional to 284,843 and 442,820

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Solution

The third proportional to 284,843 and 442,820 is: 688,412.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    284,843 : 442,820 = 442,820 : x
  2. Step 2: Convert to fraction form
    284,843/442,820 = 442,820/x
  3. Step 3: Cross multiply
    284,843x = 442,820 × 442,820
  4. Step 4: Simplify right side
    284,843x = 196,089,552,400
  5. Step 5: Solve for x
    x = 196,089,552,400/284,843
  6. Step 6: Final answer
    x = 688,412.75

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.