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Finding the Third Proportional to 197,385.19 and 281,314.69

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Solution

The third proportional to 197,385.19 and 281,314.69 is: 400,931.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    197,385.19 : 281,314.69 = 281,314.69 : x
  2. Step 2: Convert to fraction form
    197,385.19/281,314.69 = 281,314.69/x
  3. Step 3: Cross multiply
    197,385.19x = 281,314.69 × 281,314.69
  4. Step 4: Simplify right side
    197,385.19x = 79,137,953,403.22
  5. Step 5: Solve for x
    x = 79,137,953,403.22/197,385.19
  6. Step 6: Final answer
    x = 400,931.57

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Why These Related Problems?

These problems maintain the same ratio (1.43) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.