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Finding the Third Proportional to 202,955 and 438,431

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Solution

The third proportional to 202,955 and 438,431 is: 947,115.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    202,955 : 438,431 = 438,431 : x
  2. Step 2: Convert to fraction form
    202,955/438,431 = 438,431/x
  3. Step 3: Cross multiply
    202,955x = 438,431 × 438,431
  4. Step 4: Simplify right side
    202,955x = 192,221,741,761
  5. Step 5: Solve for x
    x = 192,221,741,761/202,955
  6. Step 6: Final answer
    x = 947,115.08

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.