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Finding the Third Proportional to 197,278 and 431,370

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Solution

The third proportional to 197,278 and 431,370 is: 943,237.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    197,278 : 431,370 = 431,370 : x
  2. Step 2: Convert to fraction form
    197,278/431,370 = 431,370/x
  3. Step 3: Cross multiply
    197,278x = 431,370 × 431,370
  4. Step 4: Simplify right side
    197,278x = 186,080,076,900
  5. Step 5: Solve for x
    x = 186,080,076,900/197,278
  6. Step 6: Final answer
    x = 943,237.85

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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.