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Finding the Third Proportional to 292,494 and 638,520

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Solution

The third proportional to 292,494 and 638,520 is: 1,393,901.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    292,494 : 638,520 = 638,520 : x
  2. Step 2: Convert to fraction form
    292,494/638,520 = 638,520/x
  3. Step 3: Cross multiply
    292,494x = 638,520 × 638,520
  4. Step 4: Simplify right side
    292,494x = 407,707,790,400
  5. Step 5: Solve for x
    x = 407,707,790,400/292,494
  6. Step 6: Final answer
    x = 1,393,901.38

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.