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Finding the Third Proportional to 505,416 and 1,089,560

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Solution

The third proportional to 505,416 and 1,089,560 is: 2,348,839.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    505,416 : 1,089,560 = 1,089,560 : x
  2. Step 2: Convert to fraction form
    505,416/1,089,560 = 1,089,560/x
  3. Step 3: Cross multiply
    505,416x = 1,089,560 × 1,089,560
  4. Step 4: Simplify right side
    505,416x = 1,187,140,993,600
  5. Step 5: Solve for x
    x = 1,187,140,993,600/505,416
  6. Step 6: Final answer
    x = 2,348,839.36

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.