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Finding the Third Proportional to 270,277.50 and 380,178

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Solution

The third proportional to 270,277.50 and 380,178 is: 534,766.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    270,277.50 : 380,178 = 380,178 : x
  2. Step 2: Convert to fraction form
    270,277.50/380,178 = 380,178/x
  3. Step 3: Cross multiply
    270,277.50x = 380,178 × 380,178
  4. Step 4: Simplify right side
    270,277.50x = 144,535,311,684
  5. Step 5: Solve for x
    x = 144,535,311,684/270,277.50
  6. Step 6: Final answer
    x = 534,766.35

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Why These Related Problems?

These problems maintain the same ratio (1.41) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.