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Finding the Third Proportional to 210,712 and 283,836

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Solution

The third proportional to 210,712 and 283,836 is: 382,336.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    210,712 : 283,836 = 283,836 : x
  2. Step 2: Convert to fraction form
    210,712/283,836 = 283,836/x
  3. Step 3: Cross multiply
    210,712x = 283,836 × 283,836
  4. Step 4: Simplify right side
    210,712x = 80,562,874,896
  5. Step 5: Solve for x
    x = 80,562,874,896/210,712
  6. Step 6: Final answer
    x = 382,336.44

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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.