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Finding the Third Proportional to 255,092.63 and 398,147.06

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Solution

The third proportional to 255,092.63 and 398,147.06 is: 621,425.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    255,092.63 : 398,147.06 = 398,147.06 : x
  2. Step 2: Convert to fraction form
    255,092.63/398,147.06 = 398,147.06/x
  3. Step 3: Cross multiply
    255,092.63x = 398,147.06 × 398,147.06
  4. Step 4: Simplify right side
    255,092.63x = 158,521,083,377.38
  5. Step 5: Solve for x
    x = 158,521,083,377.38/255,092.63
  6. Step 6: Final answer
    x = 621,425.58

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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.