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Finding the Third Proportional to 145,266 and 197,147

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Solution

The third proportional to 145,266 and 197,147 is: 267,557.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    145,266 : 197,147 = 197,147 : x
  2. Step 2: Convert to fraction form
    145,266/197,147 = 197,147/x
  3. Step 3: Cross multiply
    145,266x = 197,147 × 197,147
  4. Step 4: Simplify right side
    145,266x = 38,866,939,609
  5. Step 5: Solve for x
    x = 38,866,939,609/145,266
  6. Step 6: Final answer
    x = 267,557.03

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Why These Related Problems?

These problems maintain the same ratio (1.36) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.