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Finding the Third Proportional to 130,890 and 192,155

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Solution

The third proportional to 130,890 and 192,155 is: 282,095.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    130,890 : 192,155 = 192,155 : x
  2. Step 2: Convert to fraction form
    130,890/192,155 = 192,155/x
  3. Step 3: Cross multiply
    130,890x = 192,155 × 192,155
  4. Step 4: Simplify right side
    130,890x = 36,923,544,025
  5. Step 5: Solve for x
    x = 36,923,544,025/130,890
  6. Step 6: Final answer
    x = 282,095.99

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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.