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Finding the Third Proportional to 84,189 and 130,710

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Solution

The third proportional to 84,189 and 130,710 is: 202,937.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    84,189 : 130,710 = 130,710 : x
  2. Step 2: Convert to fraction form
    84,189/130,710 = 130,710/x
  3. Step 3: Cross multiply
    84,189x = 130,710 × 130,710
  4. Step 4: Simplify right side
    84,189x = 17,085,104,100
  5. Step 5: Solve for x
    x = 17,085,104,100/84,189
  6. Step 6: Final answer
    x = 202,937.49

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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.