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Finding the Third Proportional to 178,999 and 389,952

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Solution

The third proportional to 178,999 and 389,952 is: 849,516.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    178,999 : 389,952 = 389,952 : x
  2. Step 2: Convert to fraction form
    178,999/389,952 = 389,952/x
  3. Step 3: Cross multiply
    178,999x = 389,952 × 389,952
  4. Step 4: Simplify right side
    178,999x = 152,062,562,304
  5. Step 5: Solve for x
    x = 152,062,562,304/178,999
  6. Step 6: Final answer
    x = 849,516.27

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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.