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Finding the Third Proportional to 253,302 and 395,289

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Solution

The third proportional to 253,302 and 395,289 is: 616,866.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    253,302 : 395,289 = 395,289 : x
  2. Step 2: Convert to fraction form
    253,302/395,289 = 395,289/x
  3. Step 3: Cross multiply
    253,302x = 395,289 × 395,289
  4. Step 4: Simplify right side
    253,302x = 156,253,393,521
  5. Step 5: Solve for x
    x = 156,253,393,521/253,302
  6. Step 6: Final answer
    x = 616,866.01

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Why These Related Problems?

These problems maintain the same ratio (1.56) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.