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Finding the Third Proportional to 66,080 and 102,208

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Solution

The third proportional to 66,080 and 102,208 is: 158,088.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    66,080 : 102,208 = 102,208 : x
  2. Step 2: Convert to fraction form
    66,080/102,208 = 102,208/x
  3. Step 3: Cross multiply
    66,080x = 102,208 × 102,208
  4. Step 4: Simplify right side
    66,080x = 10,446,475,264
  5. Step 5: Solve for x
    x = 10,446,475,264/66,080
  6. Step 6: Final answer
    x = 158,088.31

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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.