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Finding the Third Proportional to 198,152 and 427,888

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Solution

The third proportional to 198,152 and 427,888 is: 923,978.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    198,152 : 427,888 = 427,888 : x
  2. Step 2: Convert to fraction form
    198,152/427,888 = 427,888/x
  3. Step 3: Cross multiply
    198,152x = 427,888 × 427,888
  4. Step 4: Simplify right side
    198,152x = 183,088,140,544
  5. Step 5: Solve for x
    x = 183,088,140,544/198,152
  6. Step 6: Final answer
    x = 923,978.26

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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.