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Finding the Third Proportional to 197,256.75 and 431,418

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Solution

The third proportional to 197,256.75 and 431,418 is: 943,549.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    197,256.75 : 431,418 = 431,418 : x
  2. Step 2: Convert to fraction form
    197,256.75/431,418 = 431,418/x
  3. Step 3: Cross multiply
    197,256.75x = 431,418 × 431,418
  4. Step 4: Simplify right side
    197,256.75x = 186,121,490,724
  5. Step 5: Solve for x
    x = 186,121,490,724/197,256.75
  6. Step 6: Final answer
    x = 943,549.41

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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.