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Finding the Third Proportional to 284,819 and 442,781

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Solution

The third proportional to 284,819 and 442,781 is: 688,349.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    284,819 : 442,781 = 442,781 : x
  2. Step 2: Convert to fraction form
    284,819/442,781 = 442,781/x
  3. Step 3: Cross multiply
    284,819x = 442,781 × 442,781
  4. Step 4: Simplify right side
    284,819x = 196,055,013,961
  5. Step 5: Solve for x
    x = 196,055,013,961/284,819
  6. Step 6: Final answer
    x = 688,349.49

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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.