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Finding the Third Proportional to 303,000 and 658,416

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Solution

The third proportional to 303,000 and 658,416 is: 1,430,731.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    303,000 : 658,416 = 658,416 : x
  2. Step 2: Convert to fraction form
    303,000/658,416 = 658,416/x
  3. Step 3: Cross multiply
    303,000x = 658,416 × 658,416
  4. Step 4: Simplify right side
    303,000x = 433,511,629,056
  5. Step 5: Solve for x
    x = 433,511,629,056/303,000
  6. Step 6: Final answer
    x = 1,430,731.45

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.