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Finding the Third Proportional to 666,308 and 998,368

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Solution

The third proportional to 666,308 and 998,368 is: 1,495,912.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    666,308 : 998,368 = 998,368 : x
  2. Step 2: Convert to fraction form
    666,308/998,368 = 998,368/x
  3. Step 3: Cross multiply
    666,308x = 998,368 × 998,368
  4. Step 4: Simplify right side
    666,308x = 996,738,663,424
  5. Step 5: Solve for x
    x = 996,738,663,424/666,308
  6. Step 6: Final answer
    x = 1,495,912.80

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.