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Finding the Third Proportional to 1,605.45 and 3,438.07

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Solution

The third proportional to 1,605.45 and 3,438.07 is: 7,362.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,605.45 : 3,438.07 = 3,438.07 : x
  2. Step 2: Convert to fraction form
    1,605.45/3,438.07 = 3,438.07/x
  3. Step 3: Cross multiply
    1,605.45x = 3,438.07 × 3,438.07
  4. Step 4: Simplify right side
    1,605.45x = 11,820,327.47
  5. Step 5: Solve for x
    x = 11,820,327.47/1,605.45
  6. Step 6: Final answer
    x = 7,362.65

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.