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Finding the Third Proportional to 505,424 and 788,544

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Solution

The third proportional to 505,424 and 788,544 is: 1,230,257.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    505,424 : 788,544 = 788,544 : x
  2. Step 2: Convert to fraction form
    505,424/788,544 = 788,544/x
  3. Step 3: Cross multiply
    505,424x = 788,544 × 788,544
  4. Step 4: Simplify right side
    505,424x = 621,801,639,936
  5. Step 5: Solve for x
    x = 621,801,639,936/505,424
  6. Step 6: Final answer
    x = 1,230,257.45

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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.