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Finding the Third Proportional to 203,456 and 314,764

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Solution

The third proportional to 203,456 and 314,764 is: 486,967.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    203,456 : 314,764 = 314,764 : x
  2. Step 2: Convert to fraction form
    203,456/314,764 = 314,764/x
  3. Step 3: Cross multiply
    203,456x = 314,764 × 314,764
  4. Step 4: Simplify right side
    203,456x = 99,076,375,696
  5. Step 5: Solve for x
    x = 99,076,375,696/203,456
  6. Step 6: Final answer
    x = 486,967.09

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.