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Finding the Third Proportional to 543,231 and 775,696.50

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Solution

The third proportional to 543,231 and 775,696.50 is: 1,107,641.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    543,231 : 775,696.50 = 775,696.50 : x
  2. Step 2: Convert to fraction form
    543,231/775,696.50 = 775,696.50/x
  3. Step 3: Cross multiply
    543,231x = 775,696.50 × 775,696.50
  4. Step 4: Simplify right side
    543,231x = 601,705,060,112.25
  5. Step 5: Solve for x
    x = 601,705,060,112.25/543,231
  6. Step 6: Final answer
    x = 1,107,641.24

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These problems maintain the same ratio (1.43) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.