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Finding the Third Proportional to 197,129 and 431,574

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Solution

The third proportional to 197,129 and 431,574 is: 944,843.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    197,129 : 431,574 = 431,574 : x
  2. Step 2: Convert to fraction form
    197,129/431,574 = 431,574/x
  3. Step 3: Cross multiply
    197,129x = 431,574 × 431,574
  4. Step 4: Simplify right side
    197,129x = 186,256,117,476
  5. Step 5: Solve for x
    x = 186,256,117,476/197,129
  6. Step 6: Final answer
    x = 944,843.82

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.