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Finding the Third Proportional to 66,656 and 103,170

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Solution

The third proportional to 66,656 and 103,170 is: 159,686.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    66,656 : 103,170 = 103,170 : x
  2. Step 2: Convert to fraction form
    66,656/103,170 = 103,170/x
  3. Step 3: Cross multiply
    66,656x = 103,170 × 103,170
  4. Step 4: Simplify right side
    66,656x = 10,644,048,900
  5. Step 5: Solve for x
    x = 10,644,048,900/66,656
  6. Step 6: Final answer
    x = 159,686.28

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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.