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Finding the Third Proportional to 178,205 and 235,555

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Solution

The third proportional to 178,205 and 235,555 is: 311,361.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    178,205 : 235,555 = 235,555 : x
  2. Step 2: Convert to fraction form
    178,205/235,555 = 235,555/x
  3. Step 3: Cross multiply
    178,205x = 235,555 × 235,555
  4. Step 4: Simplify right side
    178,205x = 55,486,158,025
  5. Step 5: Solve for x
    x = 55,486,158,025/178,205
  6. Step 6: Final answer
    x = 311,361.40

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Why These Related Problems?

These problems maintain the same ratio (1.32) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.