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Finding the Third Proportional to 1,681,561.50 and 3,690,147

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Solution

The third proportional to 1,681,561.50 and 3,690,147 is: 8,097,940.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,681,561.50 : 3,690,147 = 3,690,147 : x
  2. Step 2: Convert to fraction form
    1,681,561.50/3,690,147 = 3,690,147/x
  3. Step 3: Cross multiply
    1,681,561.50x = 3,690,147 × 3,690,147
  4. Step 4: Simplify right side
    1,681,561.50x = 13,617,184,881,609
  5. Step 5: Solve for x
    x = 13,617,184,881,609/1,681,561.50
  6. Step 6: Final answer
    x = 8,097,940.45

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.