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Finding the Third Proportional to 142,130 and 195,267

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Solution

The third proportional to 142,130 and 195,267 is: 268,269.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    142,130 : 195,267 = 195,267 : x
  2. Step 2: Convert to fraction form
    142,130/195,267 = 195,267/x
  3. Step 3: Cross multiply
    142,130x = 195,267 × 195,267
  4. Step 4: Simplify right side
    142,130x = 38,129,201,289
  5. Step 5: Solve for x
    x = 38,129,201,289/142,130
  6. Step 6: Final answer
    x = 268,269.90

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Why These Related Problems?

These problems maintain the same ratio (1.37) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.