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Finding the Third Proportional to 98,156.81 and 203,603.63

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Solution

The third proportional to 98,156.81 and 203,603.63 is: 422,328.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    98,156.81 : 203,603.63 = 203,603.63 : x
  2. Step 2: Convert to fraction form
    98,156.81/203,603.63 = 203,603.63/x
  3. Step 3: Cross multiply
    98,156.81x = 203,603.63 × 203,603.63
  4. Step 4: Simplify right side
    98,156.81x = 41,454,436,113.14
  5. Step 5: Solve for x
    x = 41,454,436,113.14/98,156.81
  6. Step 6: Final answer
    x = 422,328.67

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Why These Related Problems?

These problems maintain the same ratio (2.07) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.