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Finding the Third Proportional to 603.84 and 1,290.80

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Solution

The third proportional to 603.84 and 1,290.80 is: 2,759.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    603.84 : 1,290.80 = 1,290.80 : x
  2. Step 2: Convert to fraction form
    603.84/1,290.80 = 1,290.80/x
  3. Step 3: Cross multiply
    603.84x = 1,290.80 × 1,290.80
  4. Step 4: Simplify right side
    603.84x = 1,666,156.57
  5. Step 5: Solve for x
    x = 1,666,156.57/603.84
  6. Step 6: Final answer
    x = 2,759.25

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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.