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Finding the Third Proportional to 198,152 and 306,947

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Solution

The third proportional to 198,152 and 306,947 is: 475,475.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    198,152 : 306,947 = 306,947 : x
  2. Step 2: Convert to fraction form
    198,152/306,947 = 306,947/x
  3. Step 3: Cross multiply
    198,152x = 306,947 × 306,947
  4. Step 4: Simplify right side
    198,152x = 94,216,460,809
  5. Step 5: Solve for x
    x = 94,216,460,809/198,152
  6. Step 6: Final answer
    x = 475,475.70

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.