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Finding the Third Proportional to 7,698,817.13 and 11,916,775.69

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Solution

The third proportional to 7,698,817.13 and 11,916,775.69 is: 18,445,631.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,698,817.13 : 11,916,775.69 = 11,916,775.69 : x
  2. Step 2: Convert to fraction form
    7,698,817.13/11,916,775.69 = 11,916,775.69/x
  3. Step 3: Cross multiply
    7,698,817.13x = 11,916,775.69 × 11,916,775.69
  4. Step 4: Simplify right side
    7,698,817.13x = 142,009,542,786,191.09
  5. Step 5: Solve for x
    x = 142,009,542,786,191.09/7,698,817.13
  6. Step 6: Final answer
    x = 18,445,631.38

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.