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Finding the Third Proportional to 255,478.50 and 386,754.75

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Solution

The third proportional to 255,478.50 and 386,754.75 is: 585,486.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    255,478.50 : 386,754.75 = 386,754.75 : x
  2. Step 2: Convert to fraction form
    255,478.50/386,754.75 = 386,754.75/x
  3. Step 3: Cross multiply
    255,478.50x = 386,754.75 × 386,754.75
  4. Step 4: Simplify right side
    255,478.50x = 149,579,236,647.56
  5. Step 5: Solve for x
    x = 149,579,236,647.56/255,478.50
  6. Step 6: Final answer
    x = 585,486.59

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.