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Finding the Third Proportional to 296,498.25 and 638,025.75

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Solution

The third proportional to 296,498.25 and 638,025.75 is: 1,372,948.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    296,498.25 : 638,025.75 = 638,025.75 : x
  2. Step 2: Convert to fraction form
    296,498.25/638,025.75 = 638,025.75/x
  3. Step 3: Cross multiply
    296,498.25x = 638,025.75 × 638,025.75
  4. Step 4: Simplify right side
    296,498.25x = 407,076,857,663.06
  5. Step 5: Solve for x
    x = 407,076,857,663.06/296,498.25
  6. Step 6: Final answer
    x = 1,372,948.60

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.