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Finding the Third Proportional to 84,013 and 133,094

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Solution

The third proportional to 84,013 and 133,094 is: 210,848.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    84,013 : 133,094 = 133,094 : x
  2. Step 2: Convert to fraction form
    84,013/133,094 = 133,094/x
  3. Step 3: Cross multiply
    84,013x = 133,094 × 133,094
  4. Step 4: Simplify right side
    84,013x = 17,714,012,836
  5. Step 5: Solve for x
    x = 17,714,012,836/84,013
  6. Step 6: Final answer
    x = 210,848.47

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Why These Related Problems?

These problems maintain the same ratio (1.58) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.