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Finding the Third Proportional to 380,479 and 589,955

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Solution

The third proportional to 380,479 and 589,955 is: 914,759.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    380,479 : 589,955 = 589,955 : x
  2. Step 2: Convert to fraction form
    380,479/589,955 = 589,955/x
  3. Step 3: Cross multiply
    380,479x = 589,955 × 589,955
  4. Step 4: Simplify right side
    380,479x = 348,046,902,025
  5. Step 5: Solve for x
    x = 348,046,902,025/380,479
  6. Step 6: Final answer
    x = 914,759.82

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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.