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Finding the Third Proportional to 419,666.63 and 918,065.25

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Solution

The third proportional to 419,666.63 and 918,065.25 is: 2,008,365.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    419,666.63 : 918,065.25 = 918,065.25 : x
  2. Step 2: Convert to fraction form
    419,666.63/918,065.25 = 918,065.25/x
  3. Step 3: Cross multiply
    419,666.63x = 918,065.25 × 918,065.25
  4. Step 4: Simplify right side
    419,666.63x = 842,843,803,257.56
  5. Step 5: Solve for x
    x = 842,843,803,257.56/419,666.63
  6. Step 6: Final answer
    x = 2,008,365.10

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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.