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Finding the Third Proportional to 180,948 and 395,421

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Solution

The third proportional to 180,948 and 395,421 is: 864,103.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    180,948 : 395,421 = 395,421 : x
  2. Step 2: Convert to fraction form
    180,948/395,421 = 395,421/x
  3. Step 3: Cross multiply
    180,948x = 395,421 × 395,421
  4. Step 4: Simplify right side
    180,948x = 156,357,767,241
  5. Step 5: Solve for x
    x = 156,357,767,241/180,948
  6. Step 6: Final answer
    x = 864,103.32

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.