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Finding the Third Proportional to 505,539 and 768,712.50

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Solution

The third proportional to 505,539 and 768,712.50 is: 1,168,888.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    505,539 : 768,712.50 = 768,712.50 : x
  2. Step 2: Convert to fraction form
    505,539/768,712.50 = 768,712.50/x
  3. Step 3: Cross multiply
    505,539x = 768,712.50 × 768,712.50
  4. Step 4: Simplify right side
    505,539x = 590,918,907,656.25
  5. Step 5: Solve for x
    x = 590,918,907,656.25/505,539
  6. Step 6: Final answer
    x = 1,168,888.86

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Why These Related Problems?

These problems maintain the same ratio (1.52) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.