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Finding the Third Proportional to 142,350 and 213,130

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Solution

The third proportional to 142,350 and 213,130 is: 319,103.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    142,350 : 213,130 = 213,130 : x
  2. Step 2: Convert to fraction form
    142,350/213,130 = 213,130/x
  3. Step 3: Cross multiply
    142,350x = 213,130 × 213,130
  4. Step 4: Simplify right side
    142,350x = 45,424,396,900
  5. Step 5: Solve for x
    x = 45,424,396,900/142,350
  6. Step 6: Final answer
    x = 319,103.60

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.