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Finding the Third Proportional to 7,405,600.78 and 9,826,443.21

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Solution

The third proportional to 7,405,600.78 and 9,826,443.21 is: 13,038,643.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,405,600.78 : 9,826,443.21 = 9,826,443.21 : x
  2. Step 2: Convert to fraction form
    7,405,600.78/9,826,443.21 = 9,826,443.21/x
  3. Step 3: Cross multiply
    7,405,600.78x = 9,826,443.21 × 9,826,443.21
  4. Step 4: Simplify right side
    7,405,600.78x = 96,558,986,177,779.69
  5. Step 5: Solve for x
    x = 96,558,986,177,779.69/7,405,600.78
  6. Step 6: Final answer
    x = 13,038,643.19

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.33) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.