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Finding the Third Proportional to 139,754 and 221,403

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Solution

The third proportional to 139,754 and 221,403 is: 350,754.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    139,754 : 221,403 = 221,403 : x
  2. Step 2: Convert to fraction form
    139,754/221,403 = 221,403/x
  3. Step 3: Cross multiply
    139,754x = 221,403 × 221,403
  4. Step 4: Simplify right side
    139,754x = 49,019,288,409
  5. Step 5: Solve for x
    x = 49,019,288,409/139,754
  6. Step 6: Final answer
    x = 350,754.10

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Why These Related Problems?

These problems maintain the same ratio (1.58) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.