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Finding the Third Proportional to 102,724.88 and 208,274.63

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Solution

The third proportional to 102,724.88 and 208,274.63 is: 422,276.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    102,724.88 : 208,274.63 = 208,274.63 : x
  2. Step 2: Convert to fraction form
    102,724.88/208,274.63 = 208,274.63/x
  3. Step 3: Cross multiply
    102,724.88x = 208,274.63 × 208,274.63
  4. Step 4: Simplify right side
    102,724.88x = 43,378,319,418.89
  5. Step 5: Solve for x
    x = 43,378,319,418.89/102,724.88
  6. Step 6: Final answer
    x = 422,276.68

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Why These Related Problems?

These problems maintain the same ratio (2.03) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.