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Finding the Third Proportional to 222,089 and 316,521.75

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Solution

The third proportional to 222,089 and 316,521.75 is: 451,107.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    222,089 : 316,521.75 = 316,521.75 : x
  2. Step 2: Convert to fraction form
    222,089/316,521.75 = 316,521.75/x
  3. Step 3: Cross multiply
    222,089x = 316,521.75 × 316,521.75
  4. Step 4: Simplify right side
    222,089x = 100,186,018,223.06
  5. Step 5: Solve for x
    x = 100,186,018,223.06/222,089
  6. Step 6: Final answer
    x = 451,107.52

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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.