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Finding the Third Proportional to 154,518 and 318,964

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Solution

The third proportional to 154,518 and 318,964 is: 658,421.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    154,518 : 318,964 = 318,964 : x
  2. Step 2: Convert to fraction form
    154,518/318,964 = 318,964/x
  3. Step 3: Cross multiply
    154,518x = 318,964 × 318,964
  4. Step 4: Simplify right side
    154,518x = 101,738,033,296
  5. Step 5: Solve for x
    x = 101,738,033,296/154,518
  6. Step 6: Final answer
    x = 658,421.89

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Why These Related Problems?

These problems maintain the same ratio (2.06) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.