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Finding the Third Proportional to 393,887 and 611,063

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Solution

The third proportional to 393,887 and 611,063 is: 947,982.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    393,887 : 611,063 = 611,063 : x
  2. Step 2: Convert to fraction form
    393,887/611,063 = 611,063/x
  3. Step 3: Cross multiply
    393,887x = 611,063 × 611,063
  4. Step 4: Simplify right side
    393,887x = 373,397,989,969
  5. Step 5: Solve for x
    x = 373,397,989,969/393,887
  6. Step 6: Final answer
    x = 947,982.52

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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.