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Finding the Third Proportional to 283,610 and 439,091

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Solution

The third proportional to 283,610 and 439,091 is: 679,809.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    283,610 : 439,091 = 439,091 : x
  2. Step 2: Convert to fraction form
    283,610/439,091 = 439,091/x
  3. Step 3: Cross multiply
    283,610x = 439,091 × 439,091
  4. Step 4: Simplify right side
    283,610x = 192,800,906,281
  5. Step 5: Solve for x
    x = 192,800,906,281/283,610
  6. Step 6: Final answer
    x = 679,809.97

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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.