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Finding the Third Proportional to 9,174,778.75 and 12,858,390.25

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Solution

The third proportional to 9,174,778.75 and 12,858,390.25 is: 18,020,946.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,174,778.75 : 12,858,390.25 = 12,858,390.25 : x
  2. Step 2: Convert to fraction form
    9,174,778.75/12,858,390.25 = 12,858,390.25/x
  3. Step 3: Cross multiply
    9,174,778.75x = 12,858,390.25 × 12,858,390.25
  4. Step 4: Simplify right side
    9,174,778.75x = 165,338,199,821,295.06
  5. Step 5: Solve for x
    x = 165,338,199,821,295.06/9,174,778.75
  6. Step 6: Final answer
    x = 18,020,946.81

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Why These Related Problems?

These problems maintain the same ratio (1.40) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.