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Finding the Third Proportional to 306,218 and 675,940

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Solution

The third proportional to 306,218 and 675,940 is: 1,492,057.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    306,218 : 675,940 = 675,940 : x
  2. Step 2: Convert to fraction form
    306,218/675,940 = 675,940/x
  3. Step 3: Cross multiply
    306,218x = 675,940 × 675,940
  4. Step 4: Simplify right side
    306,218x = 456,894,883,600
  5. Step 5: Solve for x
    x = 456,894,883,600/306,218
  6. Step 6: Final answer
    x = 1,492,057.57

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Why These Related Problems?

These problems maintain the same ratio (2.21) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.