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Finding the Third Proportional to 130,090 and 190,163

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Solution

The third proportional to 130,090 and 190,163 is: 277,976.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    130,090 : 190,163 = 190,163 : x
  2. Step 2: Convert to fraction form
    130,090/190,163 = 190,163/x
  3. Step 3: Cross multiply
    130,090x = 190,163 × 190,163
  4. Step 4: Simplify right side
    130,090x = 36,161,966,569
  5. Step 5: Solve for x
    x = 36,161,966,569/130,090
  6. Step 6: Final answer
    x = 277,976.53

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Why These Related Problems?

These problems maintain the same ratio (1.46) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.