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Finding the Third Proportional to 115,142.50 and 248,606.50

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Solution

The third proportional to 115,142.50 and 248,606.50 is: 536,771.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    115,142.50 : 248,606.50 = 248,606.50 : x
  2. Step 2: Convert to fraction form
    115,142.50/248,606.50 = 248,606.50/x
  3. Step 3: Cross multiply
    115,142.50x = 248,606.50 × 248,606.50
  4. Step 4: Simplify right side
    115,142.50x = 61,805,191,842.25
  5. Step 5: Solve for x
    x = 61,805,191,842.25/115,142.50
  6. Step 6: Final answer
    x = 536,771.32

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These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.