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Finding the Third Proportional to 277.50 and 602.06

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Solution

The third proportional to 277.50 and 602.06 is: 1,306.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    277.50 : 602.06 = 602.06 : x
  2. Step 2: Convert to fraction form
    277.50/602.06 = 602.06/x
  3. Step 3: Cross multiply
    277.50x = 602.06 × 602.06
  4. Step 4: Simplify right side
    277.50x = 362,479.25
  5. Step 5: Solve for x
    x = 362,479.25/277.50
  6. Step 6: Final answer
    x = 1,306.23

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.