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Finding the Third Proportional to 201,218 and 425,284

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Solution

The third proportional to 201,218 and 425,284 is: 898,858.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    201,218 : 425,284 = 425,284 : x
  2. Step 2: Convert to fraction form
    201,218/425,284 = 425,284/x
  3. Step 3: Cross multiply
    201,218x = 425,284 × 425,284
  4. Step 4: Simplify right side
    201,218x = 180,866,480,656
  5. Step 5: Solve for x
    x = 180,866,480,656/201,218
  6. Step 6: Final answer
    x = 898,858.36

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Why These Related Problems?

These problems maintain the same ratio (2.11) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.