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Finding the Third Proportional to 156,658 and 219,914

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Solution

The third proportional to 156,658 and 219,914 is: 308,711.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    156,658 : 219,914 = 219,914 : x
  2. Step 2: Convert to fraction form
    156,658/219,914 = 219,914/x
  3. Step 3: Cross multiply
    156,658x = 219,914 × 219,914
  4. Step 4: Simplify right side
    156,658x = 48,362,167,396
  5. Step 5: Solve for x
    x = 48,362,167,396/156,658
  6. Step 6: Final answer
    x = 308,711.76

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Why These Related Problems?

These problems maintain the same ratio (1.40) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.