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Finding the Third Proportional to 84,160 and 130,912

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Solution

The third proportional to 84,160 and 130,912 is: 203,635.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    84,160 : 130,912 = 130,912 : x
  2. Step 2: Convert to fraction form
    84,160/130,912 = 130,912/x
  3. Step 3: Cross multiply
    84,160x = 130,912 × 130,912
  4. Step 4: Simplify right side
    84,160x = 17,137,951,744
  5. Step 5: Solve for x
    x = 17,137,951,744/84,160
  6. Step 6: Final answer
    x = 203,635.36

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Why These Related Problems?

These problems maintain the same ratio (1.56) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.