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Finding the Third Proportional to 66,143.25 and 102,447

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Solution

The third proportional to 66,143.25 and 102,447 is: 158,676.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    66,143.25 : 102,447 = 102,447 : x
  2. Step 2: Convert to fraction form
    66,143.25/102,447 = 102,447/x
  3. Step 3: Cross multiply
    66,143.25x = 102,447 × 102,447
  4. Step 4: Simplify right side
    66,143.25x = 10,495,387,809
  5. Step 5: Solve for x
    x = 10,495,387,809/66,143.25
  6. Step 6: Final answer
    x = 158,676.63

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.