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Finding the Third Proportional to 84,710 and 134,001

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Solution

The third proportional to 84,710 and 134,001 is: 211,973.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    84,710 : 134,001 = 134,001 : x
  2. Step 2: Convert to fraction form
    84,710/134,001 = 134,001/x
  3. Step 3: Cross multiply
    84,710x = 134,001 × 134,001
  4. Step 4: Simplify right side
    84,710x = 17,956,268,001
  5. Step 5: Solve for x
    x = 17,956,268,001/84,710
  6. Step 6: Final answer
    x = 211,973.42

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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.