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Finding the Third Proportional to 154,080 and 336,518

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Solution

The third proportional to 154,080 and 336,518 is: 734,971.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    154,080 : 336,518 = 336,518 : x
  2. Step 2: Convert to fraction form
    154,080/336,518 = 336,518/x
  3. Step 3: Cross multiply
    154,080x = 336,518 × 336,518
  4. Step 4: Simplify right side
    154,080x = 113,244,364,324
  5. Step 5: Solve for x
    x = 113,244,364,324/154,080
  6. Step 6: Final answer
    x = 734,971.21

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.