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Finding the Third Proportional to 127,155 and 192,369

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Solution

The third proportional to 127,155 and 192,369 is: 291,029.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    127,155 : 192,369 = 192,369 : x
  2. Step 2: Convert to fraction form
    127,155/192,369 = 192,369/x
  3. Step 3: Cross multiply
    127,155x = 192,369 × 192,369
  4. Step 4: Simplify right side
    127,155x = 37,005,832,161
  5. Step 5: Solve for x
    x = 37,005,832,161/127,155
  6. Step 6: Final answer
    x = 291,029.31

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.