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Finding the Third Proportional to 66,070 and 102,020

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Solution

The third proportional to 66,070 and 102,020 is: 157,531.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    66,070 : 102,020 = 102,020 : x
  2. Step 2: Convert to fraction form
    66,070/102,020 = 102,020/x
  3. Step 3: Cross multiply
    66,070x = 102,020 × 102,020
  4. Step 4: Simplify right side
    66,070x = 10,408,080,400
  5. Step 5: Solve for x
    x = 10,408,080,400/66,070
  6. Step 6: Final answer
    x = 157,531.11

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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.