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Finding the Third Proportional to 162,121.50 and 258,991.50

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Solution

The third proportional to 162,121.50 and 258,991.50 is: 413,742.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    162,121.50 : 258,991.50 = 258,991.50 : x
  2. Step 2: Convert to fraction form
    162,121.50/258,991.50 = 258,991.50/x
  3. Step 3: Cross multiply
    162,121.50x = 258,991.50 × 258,991.50
  4. Step 4: Simplify right side
    162,121.50x = 67,076,597,072.25
  5. Step 5: Solve for x
    x = 67,076,597,072.25/162,121.50
  6. Step 6: Final answer
    x = 413,742.76

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Why These Related Problems?

These problems maintain the same ratio (1.60) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.