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Finding the Third Proportional to 140,708 and 210,817

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Solution

The third proportional to 140,708 and 210,817 is: 315,858.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    140,708 : 210,817 = 210,817 : x
  2. Step 2: Convert to fraction form
    140,708/210,817 = 210,817/x
  3. Step 3: Cross multiply
    140,708x = 210,817 × 210,817
  4. Step 4: Simplify right side
    140,708x = 44,443,807,489
  5. Step 5: Solve for x
    x = 44,443,807,489/140,708
  6. Step 6: Final answer
    x = 315,858.43

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.