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Finding the Third Proportional to 222,211.69 and 316,823.06

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Solution

The third proportional to 222,211.69 and 316,823.06 is: 451,717.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    222,211.69 : 316,823.06 = 316,823.06 : x
  2. Step 2: Convert to fraction form
    222,211.69/316,823.06 = 316,823.06/x
  3. Step 3: Cross multiply
    222,211.69x = 316,823.06 × 316,823.06
  4. Step 4: Simplify right side
    222,211.69x = 100,376,852,931.88
  5. Step 5: Solve for x
    x = 100,376,852,931.88/222,211.69
  6. Step 6: Final answer
    x = 451,717.25

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Why These Related Problems?

These problems maintain the same ratio (1.43) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.