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Finding the Third Proportional to 130,950 and 285,890

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Solution

The third proportional to 130,950 and 285,890 is: 624,154.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    130,950 : 285,890 = 285,890 : x
  2. Step 2: Convert to fraction form
    130,950/285,890 = 285,890/x
  3. Step 3: Cross multiply
    130,950x = 285,890 × 285,890
  4. Step 4: Simplify right side
    130,950x = 81,733,092,100
  5. Step 5: Solve for x
    x = 81,733,092,100/130,950
  6. Step 6: Final answer
    x = 624,154.96

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.