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Finding the Third Proportional to 820,681.88 and 1,227,742.31

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Solution

The third proportional to 820,681.88 and 1,227,742.31 is: 1,836,705.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    820,681.88 : 1,227,742.31 = 1,227,742.31 : x
  2. Step 2: Convert to fraction form
    820,681.88/1,227,742.31 = 1,227,742.31/x
  3. Step 3: Cross multiply
    820,681.88x = 1,227,742.31 × 1,227,742.31
  4. Step 4: Simplify right side
    820,681.88x = 1,507,351,185,902.85
  5. Step 5: Solve for x
    x = 1,507,351,185,902.85/820,681.88
  6. Step 6: Final answer
    x = 1,836,705.83

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.