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Finding the Third Proportional to 223,088 and 318,018

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Solution

The third proportional to 223,088 and 318,018 is: 453,343.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    223,088 : 318,018 = 318,018 : x
  2. Step 2: Convert to fraction form
    223,088/318,018 = 318,018/x
  3. Step 3: Cross multiply
    223,088x = 318,018 × 318,018
  4. Step 4: Simplify right side
    223,088x = 101,135,448,324
  5. Step 5: Solve for x
    x = 101,135,448,324/223,088
  6. Step 6: Final answer
    x = 453,343.29

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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.