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Finding the Third Proportional to 255,090.50 and 398,144

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Solution

The third proportional to 255,090.50 and 398,144 is: 621,421.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    255,090.50 : 398,144 = 398,144 : x
  2. Step 2: Convert to fraction form
    255,090.50/398,144 = 398,144/x
  3. Step 3: Cross multiply
    255,090.50x = 398,144 × 398,144
  4. Step 4: Simplify right side
    255,090.50x = 158,518,644,736
  5. Step 5: Solve for x
    x = 158,518,644,736/255,090.50
  6. Step 6: Final answer
    x = 621,421.20

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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.