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Finding the Third Proportional to 243,174.66 and 388,476.84

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Solution

The third proportional to 243,174.66 and 388,476.84 is: 620,600.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    243,174.66 : 388,476.84 = 388,476.84 : x
  2. Step 2: Convert to fraction form
    243,174.66/388,476.84 = 388,476.84/x
  3. Step 3: Cross multiply
    243,174.66x = 388,476.84 × 388,476.84
  4. Step 4: Simplify right side
    243,174.66x = 150,914,258,129.96
  5. Step 5: Solve for x
    x = 150,914,258,129.96/243,174.66
  6. Step 6: Final answer
    x = 620,600.27

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Why These Related Problems?

These problems maintain the same ratio (1.60) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.