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Finding the Third Proportional to 134,405 and 197,715

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Solution

The third proportional to 134,405 and 197,715 is: 290,846.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    134,405 : 197,715 = 197,715 : x
  2. Step 2: Convert to fraction form
    134,405/197,715 = 197,715/x
  3. Step 3: Cross multiply
    134,405x = 197,715 × 197,715
  4. Step 4: Simplify right side
    134,405x = 39,091,221,225
  5. Step 5: Solve for x
    x = 39,091,221,225/134,405
  6. Step 6: Final answer
    x = 290,846.48

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Why These Related Problems?

These problems maintain the same ratio (1.47) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.