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Finding the Third Proportional to 126,790 and 197,455

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Solution

The third proportional to 126,790 and 197,455 is: 307,504.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    126,790 : 197,455 = 197,455 : x
  2. Step 2: Convert to fraction form
    126,790/197,455 = 197,455/x
  3. Step 3: Cross multiply
    126,790x = 197,455 × 197,455
  4. Step 4: Simplify right side
    126,790x = 38,988,477,025
  5. Step 5: Solve for x
    x = 38,988,477,025/126,790
  6. Step 6: Final answer
    x = 307,504.35

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Why These Related Problems?

These problems maintain the same ratio (1.56) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.