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Finding the Third Proportional to 139,773 and 221,670

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Solution

The third proportional to 139,773 and 221,670 is: 351,552.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    139,773 : 221,670 = 221,670 : x
  2. Step 2: Convert to fraction form
    139,773/221,670 = 221,670/x
  3. Step 3: Cross multiply
    139,773x = 221,670 × 221,670
  4. Step 4: Simplify right side
    139,773x = 49,137,588,900
  5. Step 5: Solve for x
    x = 49,137,588,900/139,773
  6. Step 6: Final answer
    x = 351,552.80

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Why These Related Problems?

These problems maintain the same ratio (1.59) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.