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Finding the Third Proportional to 368.04 and 515.80

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Solution

The third proportional to 368.04 and 515.80 is: 722.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    368.04 : 515.80 = 515.80 : x
  2. Step 2: Convert to fraction form
    368.04/515.80 = 515.80/x
  3. Step 3: Cross multiply
    368.04x = 515.80 × 515.80
  4. Step 4: Simplify right side
    368.04x = 266,050.45
  5. Step 5: Solve for x
    x = 266,050.45/368.04
  6. Step 6: Final answer
    x = 722.89

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Why These Related Problems?

These problems maintain the same ratio (1.40) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.