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Finding the Third Proportional to 283,618 and 439,104

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Solution

The third proportional to 283,618 and 439,104 is: 679,831.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    283,618 : 439,104 = 439,104 : x
  2. Step 2: Convert to fraction form
    283,618/439,104 = 439,104/x
  3. Step 3: Cross multiply
    283,618x = 439,104 × 439,104
  4. Step 4: Simplify right side
    283,618x = 192,812,322,816
  5. Step 5: Solve for x
    x = 192,812,322,816/283,618
  6. Step 6: Final answer
    x = 679,831.05

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.