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Finding the Third Proportional to 212,796 and 316,179

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Solution

The third proportional to 212,796 and 316,179 is: 469,788.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    212,796 : 316,179 = 316,179 : x
  2. Step 2: Convert to fraction form
    212,796/316,179 = 316,179/x
  3. Step 3: Cross multiply
    212,796x = 316,179 × 316,179
  4. Step 4: Simplify right side
    212,796x = 99,969,160,041
  5. Step 5: Solve for x
    x = 99,969,160,041/212,796
  6. Step 6: Final answer
    x = 469,788.72

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.