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Finding the Third Proportional to 178,310.25 and 384,708

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Solution

The third proportional to 178,310.25 and 384,708 is: 830,015.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    178,310.25 : 384,708 = 384,708 : x
  2. Step 2: Convert to fraction form
    178,310.25/384,708 = 384,708/x
  3. Step 3: Cross multiply
    178,310.25x = 384,708 × 384,708
  4. Step 4: Simplify right side
    178,310.25x = 148,000,245,264
  5. Step 5: Solve for x
    x = 148,000,245,264/178,310.25
  6. Step 6: Final answer
    x = 830,015.35

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.