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Finding the Third Proportional to 140,914.50 and 248,353.50

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Solution

The third proportional to 140,914.50 and 248,353.50 is: 437,708.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    140,914.50 : 248,353.50 = 248,353.50 : x
  2. Step 2: Convert to fraction form
    140,914.50/248,353.50 = 248,353.50/x
  3. Step 3: Cross multiply
    140,914.50x = 248,353.50 × 248,353.50
  4. Step 4: Simplify right side
    140,914.50x = 61,679,460,962.25
  5. Step 5: Solve for x
    x = 61,679,460,962.25/140,914.50
  6. Step 6: Final answer
    x = 437,708.40

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These problems maintain the same ratio (1.76) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.