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Finding the Third Proportional to 3,193,767.75 and 4,789,478.25

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Solution

The third proportional to 3,193,767.75 and 4,789,478.25 is: 7,182,457.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,193,767.75 : 4,789,478.25 = 4,789,478.25 : x
  2. Step 2: Convert to fraction form
    3,193,767.75/4,789,478.25 = 4,789,478.25/x
  3. Step 3: Cross multiply
    3,193,767.75x = 4,789,478.25 × 4,789,478.25
  4. Step 4: Simplify right side
    3,193,767.75x = 22,939,101,907,223.06
  5. Step 5: Solve for x
    x = 22,939,101,907,223.06/3,193,767.75
  6. Step 6: Final answer
    x = 7,182,457.74

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.