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Finding the Third Proportional to 66,730.50 and 145,077

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Solution

The third proportional to 66,730.50 and 145,077 is: 315,408.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    66,730.50 : 145,077 = 145,077 : x
  2. Step 2: Convert to fraction form
    66,730.50/145,077 = 145,077/x
  3. Step 3: Cross multiply
    66,730.50x = 145,077 × 145,077
  4. Step 4: Simplify right side
    66,730.50x = 21,047,335,929
  5. Step 5: Solve for x
    x = 21,047,335,929/66,730.50
  6. Step 6: Final answer
    x = 315,408.04

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.