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Finding the Third Proportional to 102,838 and 156,242

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Solution

The third proportional to 102,838 and 156,242 is: 237,378.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    102,838 : 156,242 = 156,242 : x
  2. Step 2: Convert to fraction form
    102,838/156,242 = 156,242/x
  3. Step 3: Cross multiply
    102,838x = 156,242 × 156,242
  4. Step 4: Simplify right side
    102,838x = 24,411,562,564
  5. Step 5: Solve for x
    x = 24,411,562,564/102,838
  6. Step 6: Final answer
    x = 237,378.81

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Why These Related Problems?

These problems maintain the same ratio (1.52) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.