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Finding the Third Proportional to 139,873.50 and 209,762.25

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Solution

The third proportional to 139,873.50 and 209,762.25 is: 314,571.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    139,873.50 : 209,762.25 = 209,762.25 : x
  2. Step 2: Convert to fraction form
    139,873.50/209,762.25 = 209,762.25/x
  3. Step 3: Cross multiply
    139,873.50x = 209,762.25 × 209,762.25
  4. Step 4: Simplify right side
    139,873.50x = 44,000,201,525.06
  5. Step 5: Solve for x
    x = 44,000,201,525.06/139,873.50
  6. Step 6: Final answer
    x = 314,571.39

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.