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Finding the Third Proportional to 130,690 and 192,207

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Solution

The third proportional to 130,690 and 192,207 is: 282,680.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    130,690 : 192,207 = 192,207 : x
  2. Step 2: Convert to fraction form
    130,690/192,207 = 192,207/x
  3. Step 3: Cross multiply
    130,690x = 192,207 × 192,207
  4. Step 4: Simplify right side
    130,690x = 36,943,530,849
  5. Step 5: Solve for x
    x = 36,943,530,849/130,690
  6. Step 6: Final answer
    x = 282,680.62

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Why These Related Problems?

These problems maintain the same ratio (1.47) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.