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Finding the Third Proportional to 180,127 and 393,467

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Solution

The third proportional to 180,127 and 393,467 is: 859,484.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    180,127 : 393,467 = 393,467 : x
  2. Step 2: Convert to fraction form
    180,127/393,467 = 393,467/x
  3. Step 3: Cross multiply
    180,127x = 393,467 × 393,467
  4. Step 4: Simplify right side
    180,127x = 154,816,280,089
  5. Step 5: Solve for x
    x = 154,816,280,089/180,127
  6. Step 6: Final answer
    x = 859,484.03

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.