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Finding the Third Proportional to 284,856 and 442,824

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Solution

The third proportional to 284,856 and 442,824 is: 688,393.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    284,856 : 442,824 = 442,824 : x
  2. Step 2: Convert to fraction form
    284,856/442,824 = 442,824/x
  3. Step 3: Cross multiply
    284,856x = 442,824 × 442,824
  4. Step 4: Simplify right side
    284,856x = 196,093,094,976
  5. Step 5: Solve for x
    x = 196,093,094,976/284,856
  6. Step 6: Final answer
    x = 688,393.77

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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.