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Finding the Third Proportional to 210,428 and 283,512

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Solution

The third proportional to 210,428 and 283,512 is: 381,978.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    210,428 : 283,512 = 283,512 : x
  2. Step 2: Convert to fraction form
    210,428/283,512 = 283,512/x
  3. Step 3: Cross multiply
    210,428x = 283,512 × 283,512
  4. Step 4: Simplify right side
    210,428x = 80,379,054,144
  5. Step 5: Solve for x
    x = 80,379,054,144/210,428
  6. Step 6: Final answer
    x = 381,978.89

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Why These Related Problems?

These problems maintain the same ratio (1.35) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.