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Finding the Third Proportional to 284,930 and 442,937

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Solution

The third proportional to 284,930 and 442,937 is: 688,566.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    284,930 : 442,937 = 442,937 : x
  2. Step 2: Convert to fraction form
    284,930/442,937 = 442,937/x
  3. Step 3: Cross multiply
    284,930x = 442,937 × 442,937
  4. Step 4: Simplify right side
    284,930x = 196,193,185,969
  5. Step 5: Solve for x
    x = 196,193,185,969/284,930
  6. Step 6: Final answer
    x = 688,566.27

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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.