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Finding the Third Proportional to 212,618 and 319,888

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Solution

The third proportional to 212,618 and 319,888 is: 481,277.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    212,618 : 319,888 = 319,888 : x
  2. Step 2: Convert to fraction form
    212,618/319,888 = 319,888/x
  3. Step 3: Cross multiply
    212,618x = 319,888 × 319,888
  4. Step 4: Simplify right side
    212,618x = 102,328,332,544
  5. Step 5: Solve for x
    x = 102,328,332,544/212,618
  6. Step 6: Final answer
    x = 481,277.84

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.