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Finding the Third Proportional to 201,431 and 438,826

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Solution

The third proportional to 201,431 and 438,826 is: 956,001.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    201,431 : 438,826 = 438,826 : x
  2. Step 2: Convert to fraction form
    201,431/438,826 = 438,826/x
  3. Step 3: Cross multiply
    201,431x = 438,826 × 438,826
  4. Step 4: Simplify right side
    201,431x = 192,568,258,276
  5. Step 5: Solve for x
    x = 192,568,258,276/201,431
  6. Step 6: Final answer
    x = 956,001.10

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.