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Finding the Third Proportional to 284,906 and 442,911

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Solution

The third proportional to 284,906 and 442,911 is: 688,543.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    284,906 : 442,911 = 442,911 : x
  2. Step 2: Convert to fraction form
    284,906/442,911 = 442,911/x
  3. Step 3: Cross multiply
    284,906x = 442,911 × 442,911
  4. Step 4: Simplify right side
    284,906x = 196,170,153,921
  5. Step 5: Solve for x
    x = 196,170,153,921/284,906
  6. Step 6: Final answer
    x = 688,543.43

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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.