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Finding the Third Proportional to 178,488 and 388,962

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Solution

The third proportional to 178,488 and 388,962 is: 847,628.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    178,488 : 388,962 = 388,962 : x
  2. Step 2: Convert to fraction form
    178,488/388,962 = 388,962/x
  3. Step 3: Cross multiply
    178,488x = 388,962 × 388,962
  4. Step 4: Simplify right side
    178,488x = 151,291,437,444
  5. Step 5: Solve for x
    x = 151,291,437,444/178,488
  6. Step 6: Final answer
    x = 847,628.06

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.