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Finding the Third Proportional to 130,020 and 194,172

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Solution

The third proportional to 130,020 and 194,172 is: 289,976.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    130,020 : 194,172 = 194,172 : x
  2. Step 2: Convert to fraction form
    130,020/194,172 = 194,172/x
  3. Step 3: Cross multiply
    130,020x = 194,172 × 194,172
  4. Step 4: Simplify right side
    130,020x = 37,702,765,584
  5. Step 5: Solve for x
    x = 37,702,765,584/130,020
  6. Step 6: Final answer
    x = 289,976.66

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.