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Finding the Third Proportional to 156,659 and 288,167

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Solution

The third proportional to 156,659 and 288,167 is: 530,069.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    156,659 : 288,167 = 288,167 : x
  2. Step 2: Convert to fraction form
    156,659/288,167 = 288,167/x
  3. Step 3: Cross multiply
    156,659x = 288,167 × 288,167
  4. Step 4: Simplify right side
    156,659x = 83,040,219,889
  5. Step 5: Solve for x
    x = 83,040,219,889/156,659
  6. Step 6: Final answer
    x = 530,069.90

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Why These Related Problems?

These problems maintain the same ratio (1.84) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.