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Finding the Third Proportional to 120,664 and 260,028

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Solution

The third proportional to 120,664 and 260,028 is: 560,354.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    120,664 : 260,028 = 260,028 : x
  2. Step 2: Convert to fraction form
    120,664/260,028 = 260,028/x
  3. Step 3: Cross multiply
    120,664x = 260,028 × 260,028
  4. Step 4: Simplify right side
    120,664x = 67,614,560,784
  5. Step 5: Solve for x
    x = 67,614,560,784/120,664
  6. Step 6: Final answer
    x = 560,354.05

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.