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Finding the Third Proportional to 98,544.38 and 204,088.50

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Solution

The third proportional to 98,544.38 and 204,088.50 is: 422,673.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    98,544.38 : 204,088.50 = 204,088.50 : x
  2. Step 2: Convert to fraction form
    98,544.38/204,088.50 = 204,088.50/x
  3. Step 3: Cross multiply
    98,544.38x = 204,088.50 × 204,088.50
  4. Step 4: Simplify right side
    98,544.38x = 41,652,115,832.25
  5. Step 5: Solve for x
    x = 41,652,115,832.25/98,544.38
  6. Step 6: Final answer
    x = 422,673.70

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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.