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Finding the Third Proportional to 84,128 and 130,244

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Solution

The third proportional to 84,128 and 130,244 is: 201,639.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    84,128 : 130,244 = 130,244 : x
  2. Step 2: Convert to fraction form
    84,128/130,244 = 130,244/x
  3. Step 3: Cross multiply
    84,128x = 130,244 × 130,244
  4. Step 4: Simplify right side
    84,128x = 16,963,499,536
  5. Step 5: Solve for x
    x = 16,963,499,536/84,128
  6. Step 6: Final answer
    x = 201,639.16

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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.