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Finding the Third Proportional to 238,140 and 323,416

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Solution

The third proportional to 238,140 and 323,416 is: 439,228.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    238,140 : 323,416 = 323,416 : x
  2. Step 2: Convert to fraction form
    238,140/323,416 = 323,416/x
  3. Step 3: Cross multiply
    238,140x = 323,416 × 323,416
  4. Step 4: Simplify right side
    238,140x = 104,597,909,056
  5. Step 5: Solve for x
    x = 104,597,909,056/238,140
  6. Step 6: Final answer
    x = 439,228.64

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Why These Related Problems?

These problems maintain the same ratio (1.36) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.