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Finding the Third Proportional to 257,066 and 402,009

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Solution

The third proportional to 257,066 and 402,009 is: 628,676.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    257,066 : 402,009 = 402,009 : x
  2. Step 2: Convert to fraction form
    257,066/402,009 = 402,009/x
  3. Step 3: Cross multiply
    257,066x = 402,009 × 402,009
  4. Step 4: Simplify right side
    257,066x = 161,611,236,081
  5. Step 5: Solve for x
    x = 161,611,236,081/257,066
  6. Step 6: Final answer
    x = 628,676.04

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Why These Related Problems?

These problems maintain the same ratio (1.56) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.