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Finding the Third Proportional to 255,416 and 386,679

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Solution

The third proportional to 255,416 and 386,679 is: 585,400.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    255,416 : 386,679 = 386,679 : x
  2. Step 2: Convert to fraction form
    255,416/386,679 = 386,679/x
  3. Step 3: Cross multiply
    255,416x = 386,679 × 386,679
  4. Step 4: Simplify right side
    255,416x = 149,520,649,041
  5. Step 5: Solve for x
    x = 149,520,649,041/255,416
  6. Step 6: Final answer
    x = 585,400.48

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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.