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Finding the Third Proportional to 207,822.75 and 334,684.50

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Solution

The third proportional to 207,822.75 and 334,684.50 is: 538,986.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    207,822.75 : 334,684.50 = 334,684.50 : x
  2. Step 2: Convert to fraction form
    207,822.75/334,684.50 = 334,684.50/x
  3. Step 3: Cross multiply
    207,822.75x = 334,684.50 × 334,684.50
  4. Step 4: Simplify right side
    207,822.75x = 112,013,714,540.25
  5. Step 5: Solve for x
    x = 112,013,714,540.25/207,822.75
  6. Step 6: Final answer
    x = 538,986.78

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Why These Related Problems?

These problems maintain the same ratio (1.61) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.