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Finding the Third Proportional to 503,715 and 698,148

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Solution

The third proportional to 503,715 and 698,148 is: 967,631.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    503,715 : 698,148 = 698,148 : x
  2. Step 2: Convert to fraction form
    503,715/698,148 = 698,148/x
  3. Step 3: Cross multiply
    503,715x = 698,148 × 698,148
  4. Step 4: Simplify right side
    503,715x = 487,410,629,904
  5. Step 5: Solve for x
    x = 487,410,629,904/503,715
  6. Step 6: Final answer
    x = 967,631.76

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Why These Related Problems?

These problems maintain the same ratio (1.39) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.