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Finding the Third Proportional to 110,206.50 and 163,689.75

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Solution

The third proportional to 110,206.50 and 163,689.75 is: 243,128.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    110,206.50 : 163,689.75 = 163,689.75 : x
  2. Step 2: Convert to fraction form
    110,206.50/163,689.75 = 163,689.75/x
  3. Step 3: Cross multiply
    110,206.50x = 163,689.75 × 163,689.75
  4. Step 4: Simplify right side
    110,206.50x = 26,794,334,255.06
  5. Step 5: Solve for x
    x = 26,794,334,255.06/110,206.50
  6. Step 6: Final answer
    x = 243,128.44

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.