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Finding the Third Proportional to 69,010 and 102,211

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Solution

The third proportional to 69,010 and 102,211 is: 151,385.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    69,010 : 102,211 = 102,211 : x
  2. Step 2: Convert to fraction form
    69,010/102,211 = 102,211/x
  3. Step 3: Cross multiply
    69,010x = 102,211 × 102,211
  4. Step 4: Simplify right side
    69,010x = 10,447,088,521
  5. Step 5: Solve for x
    x = 10,447,088,521/69,010
  6. Step 6: Final answer
    x = 151,385.14

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Why These Related Problems?

These problems maintain the same ratio (1.48) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.