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Finding the Third Proportional to 839,118.38 and 1,290,534.38

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Solution

The third proportional to 839,118.38 and 1,290,534.38 is: 1,984,796.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    839,118.38 : 1,290,534.38 = 1,290,534.38 : x
  2. Step 2: Convert to fraction form
    839,118.38/1,290,534.38 = 1,290,534.38/x
  3. Step 3: Cross multiply
    839,118.38x = 1,290,534.38 × 1,290,534.38
  4. Step 4: Simplify right side
    839,118.38x = 1,665,478,973,056.64
  5. Step 5: Solve for x
    x = 1,665,478,973,056.64/839,118.38
  6. Step 6: Final answer
    x = 1,984,796.21

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Why These Related Problems?

These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.