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Finding the Third Proportional to 66,816 and 102,743.50

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Solution

The third proportional to 66,816 and 102,743.50 is: 157,989.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    66,816 : 102,743.50 = 102,743.50 : x
  2. Step 2: Convert to fraction form
    66,816/102,743.50 = 102,743.50/x
  3. Step 3: Cross multiply
    66,816x = 102,743.50 × 102,743.50
  4. Step 4: Simplify right side
    66,816x = 10,556,226,792.25
  5. Step 5: Solve for x
    x = 10,556,226,792.25/66,816
  6. Step 6: Final answer
    x = 157,989.51

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Why These Related Problems?

These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.