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Finding the Third Proportional to 253,265 and 401,038

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Solution

The third proportional to 253,265 and 401,038 is: 635,032.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    253,265 : 401,038 = 401,038 : x
  2. Step 2: Convert to fraction form
    253,265/401,038 = 401,038/x
  3. Step 3: Cross multiply
    253,265x = 401,038 × 401,038
  4. Step 4: Simplify right side
    253,265x = 160,831,477,444
  5. Step 5: Solve for x
    x = 160,831,477,444/253,265
  6. Step 6: Final answer
    x = 635,032.39

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Why These Related Problems?

These problems maintain the same ratio (1.58) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.