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Finding the Third Proportional to 203,436 and 314,739

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Solution

The third proportional to 203,436 and 314,739 is: 486,937.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    203,436 : 314,739 = 314,739 : x
  2. Step 2: Convert to fraction form
    203,436/314,739 = 314,739/x
  3. Step 3: Cross multiply
    203,436x = 314,739 × 314,739
  4. Step 4: Simplify right side
    203,436x = 99,060,638,121
  5. Step 5: Solve for x
    x = 99,060,638,121/203,436
  6. Step 6: Final answer
    x = 486,937.60

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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.