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Finding the Third Proportional to 120,318 and 260,724

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Solution

The third proportional to 120,318 and 260,724 is: 564,977.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    120,318 : 260,724 = 260,724 : x
  2. Step 2: Convert to fraction form
    120,318/260,724 = 260,724/x
  3. Step 3: Cross multiply
    120,318x = 260,724 × 260,724
  4. Step 4: Simplify right side
    120,318x = 67,977,004,176
  5. Step 5: Solve for x
    x = 67,977,004,176/120,318
  6. Step 6: Final answer
    x = 564,977.84

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.