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Finding the Third Proportional to 120,156 and 257,964

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Solution

The third proportional to 120,156 and 257,964 is: 553,825.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    120,156 : 257,964 = 257,964 : x
  2. Step 2: Convert to fraction form
    120,156/257,964 = 257,964/x
  3. Step 3: Cross multiply
    120,156x = 257,964 × 257,964
  4. Step 4: Simplify right side
    120,156x = 66,545,425,296
  5. Step 5: Solve for x
    x = 66,545,425,296/120,156
  6. Step 6: Final answer
    x = 553,825.24

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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.