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Finding the Third Proportional to 255,788 and 401,254

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Solution

The third proportional to 255,788 and 401,254 is: 629,446.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    255,788 : 401,254 = 401,254 : x
  2. Step 2: Convert to fraction form
    255,788/401,254 = 401,254/x
  3. Step 3: Cross multiply
    255,788x = 401,254 × 401,254
  4. Step 4: Simplify right side
    255,788x = 161,004,772,516
  5. Step 5: Solve for x
    x = 161,004,772,516/255,788
  6. Step 6: Final answer
    x = 629,446.15

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Why These Related Problems?

These problems maintain the same ratio (1.57) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.