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Finding the Third Proportional to 197,224 and 431,312

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Solution

The third proportional to 197,224 and 431,312 is: 943,242.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    197,224 : 431,312 = 431,312 : x
  2. Step 2: Convert to fraction form
    197,224/431,312 = 431,312/x
  3. Step 3: Cross multiply
    197,224x = 431,312 × 431,312
  4. Step 4: Simplify right side
    197,224x = 186,030,041,344
  5. Step 5: Solve for x
    x = 186,030,041,344/197,224
  6. Step 6: Final answer
    x = 943,242.41

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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.