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Finding the Third Proportional to 393,893 and 611,073

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Solution

The third proportional to 393,893 and 611,073 is: 947,999.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    393,893 : 611,073 = 611,073 : x
  2. Step 2: Convert to fraction form
    393,893/611,073 = 611,073/x
  3. Step 3: Cross multiply
    393,893x = 611,073 × 611,073
  4. Step 4: Simplify right side
    393,893x = 373,410,211,329
  5. Step 5: Solve for x
    x = 373,410,211,329/393,893
  6. Step 6: Final answer
    x = 947,999.10

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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.