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Finding the Third Proportional to 281,207 and 605,087

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Solution

The third proportional to 281,207 and 605,087 is: 1,301,995.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    281,207 : 605,087 = 605,087 : x
  2. Step 2: Convert to fraction form
    281,207/605,087 = 605,087/x
  3. Step 3: Cross multiply
    281,207x = 605,087 × 605,087
  4. Step 4: Simplify right side
    281,207x = 366,130,277,569
  5. Step 5: Solve for x
    x = 366,130,277,569/281,207
  6. Step 6: Final answer
    x = 1,301,995.60

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.