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Finding the Third Proportional to 210,420 and 318,141

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Solution

The third proportional to 210,420 and 318,141 is: 481,007.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    210,420 : 318,141 = 318,141 : x
  2. Step 2: Convert to fraction form
    210,420/318,141 = 318,141/x
  3. Step 3: Cross multiply
    210,420x = 318,141 × 318,141
  4. Step 4: Simplify right side
    210,420x = 101,213,695,881
  5. Step 5: Solve for x
    x = 101,213,695,881/210,420
  6. Step 6: Final answer
    x = 481,007.96

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.