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Finding the Third Proportional to 393,650 and 611,211

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Solution

The third proportional to 393,650 and 611,211 is: 949,012.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    393,650 : 611,211 = 611,211 : x
  2. Step 2: Convert to fraction form
    393,650/611,211 = 611,211/x
  3. Step 3: Cross multiply
    393,650x = 611,211 × 611,211
  4. Step 4: Simplify right side
    393,650x = 373,578,886,521
  5. Step 5: Solve for x
    x = 373,578,886,521/393,650
  6. Step 6: Final answer
    x = 949,012.79

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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.