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Finding the Third Proportional to 129,303 and 274,154

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Solution

The third proportional to 129,303 and 274,154 is: 581,273.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    129,303 : 274,154 = 274,154 : x
  2. Step 2: Convert to fraction form
    129,303/274,154 = 274,154/x
  3. Step 3: Cross multiply
    129,303x = 274,154 × 274,154
  4. Step 4: Simplify right side
    129,303x = 75,160,415,716
  5. Step 5: Solve for x
    x = 75,160,415,716/129,303
  6. Step 6: Final answer
    x = 581,273.56

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Why These Related Problems?

These problems maintain the same ratio (2.12) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.