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Finding the Third Proportional to 128,966 and 274,539

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Solution

The third proportional to 128,966 and 274,539 is: 584,430.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    128,966 : 274,539 = 274,539 : x
  2. Step 2: Convert to fraction form
    128,966/274,539 = 274,539/x
  3. Step 3: Cross multiply
    128,966x = 274,539 × 274,539
  4. Step 4: Simplify right side
    128,966x = 75,371,662,521
  5. Step 5: Solve for x
    x = 75,371,662,521/128,966
  6. Step 6: Final answer
    x = 584,430.49

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Why These Related Problems?

These problems maintain the same ratio (2.13) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.