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Finding the Third Proportional to 610,352.40 and 1,325,783.32

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Solution

The third proportional to 610,352.40 and 1,325,783.32 is: 2,879,814.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    610,352.40 : 1,325,783.32 = 1,325,783.32 : x
  2. Step 2: Convert to fraction form
    610,352.40/1,325,783.32 = 1,325,783.32/x
  3. Step 3: Cross multiply
    610,352.40x = 1,325,783.32 × 1,325,783.32
  4. Step 4: Simplify right side
    610,352.40x = 1,757,701,412,418.84
  5. Step 5: Solve for x
    x = 1,757,701,412,418.84/610,352.40
  6. Step 6: Final answer
    x = 2,879,814.03

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.