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Finding the Third Proportional to 154,808 and 316,172

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Solution

The third proportional to 154,808 and 316,172 is: 645,733.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    154,808 : 316,172 = 316,172 : x
  2. Step 2: Convert to fraction form
    154,808/316,172 = 316,172/x
  3. Step 3: Cross multiply
    154,808x = 316,172 × 316,172
  4. Step 4: Simplify right side
    154,808x = 99,964,733,584
  5. Step 5: Solve for x
    x = 99,964,733,584/154,808
  6. Step 6: Final answer
    x = 645,733.64

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Why These Related Problems?

These problems maintain the same ratio (2.04) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.