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Finding the Third Proportional to 285,028.50 and 605,038.50

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Solution

The third proportional to 285,028.50 and 605,038.50 is: 1,284,333.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    285,028.50 : 605,038.50 = 605,038.50 : x
  2. Step 2: Convert to fraction form
    285,028.50/605,038.50 = 605,038.50/x
  3. Step 3: Cross multiply
    285,028.50x = 605,038.50 × 605,038.50
  4. Step 4: Simplify right side
    285,028.50x = 366,071,586,482.25
  5. Step 5: Solve for x
    x = 366,071,586,482.25/285,028.50
  6. Step 6: Final answer
    x = 1,284,333.27

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Why These Related Problems?

These problems maintain the same ratio (2.12) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.