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Finding the Third Proportional to 139,570.50 and 199,352.25

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Solution

The third proportional to 139,570.50 and 199,352.25 is: 284,740.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    139,570.50 : 199,352.25 = 199,352.25 : x
  2. Step 2: Convert to fraction form
    139,570.50/199,352.25 = 199,352.25/x
  3. Step 3: Cross multiply
    139,570.50x = 199,352.25 × 199,352.25
  4. Step 4: Simplify right side
    139,570.50x = 39,741,319,580.06
  5. Step 5: Solve for x
    x = 39,741,319,580.06/139,570.50
  6. Step 6: Final answer
    x = 284,740.11

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Why These Related Problems?

These problems maintain the same ratio (1.43) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.