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Finding the Third Proportional to 154,518 and 325,642

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Solution

The third proportional to 154,518 and 325,642 is: 686,280.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    154,518 : 325,642 = 325,642 : x
  2. Step 2: Convert to fraction form
    154,518/325,642 = 325,642/x
  3. Step 3: Cross multiply
    154,518x = 325,642 × 325,642
  4. Step 4: Simplify right side
    154,518x = 106,042,712,164
  5. Step 5: Solve for x
    x = 106,042,712,164/154,518
  6. Step 6: Final answer
    x = 686,280.64

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Why These Related Problems?

These problems maintain the same ratio (2.11) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.