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Finding the Third Proportional to 179,861 and 388,541

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Solution

The third proportional to 179,861 and 388,541 is: 839,337.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    179,861 : 388,541 = 388,541 : x
  2. Step 2: Convert to fraction form
    179,861/388,541 = 388,541/x
  3. Step 3: Cross multiply
    179,861x = 388,541 × 388,541
  4. Step 4: Simplify right side
    179,861x = 150,964,108,681
  5. Step 5: Solve for x
    x = 150,964,108,681/179,861
  6. Step 6: Final answer
    x = 839,337.65

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.