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Finding the Third Proportional to 66,109.92 and 142,740.04

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Solution

The third proportional to 66,109.92 and 142,740.04 is: 308,194.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    66,109.92 : 142,740.04 = 142,740.04 : x
  2. Step 2: Convert to fraction form
    66,109.92/142,740.04 = 142,740.04/x
  3. Step 3: Cross multiply
    66,109.92x = 142,740.04 × 142,740.04
  4. Step 4: Simplify right side
    66,109.92x = 20,374,717,636.41
  5. Step 5: Solve for x
    x = 20,374,717,636.41/66,109.92
  6. Step 6: Final answer
    x = 308,194.55

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.