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Finding the Third Proportional to 129,356 and 274,365

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Solution

The third proportional to 129,356 and 274,365 is: 581,930.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    129,356 : 274,365 = 274,365 : x
  2. Step 2: Convert to fraction form
    129,356/274,365 = 274,365/x
  3. Step 3: Cross multiply
    129,356x = 274,365 × 274,365
  4. Step 4: Simplify right side
    129,356x = 75,276,153,225
  5. Step 5: Solve for x
    x = 75,276,153,225/129,356
  6. Step 6: Final answer
    x = 581,930.12

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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.