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Finding the Third Proportional to 128,599 and 274,931

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Solution

The third proportional to 128,599 and 274,931 is: 587,773.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    128,599 : 274,931 = 274,931 : x
  2. Step 2: Convert to fraction form
    128,599/274,931 = 274,931/x
  3. Step 3: Cross multiply
    128,599x = 274,931 × 274,931
  4. Step 4: Simplify right side
    128,599x = 75,587,054,761
  5. Step 5: Solve for x
    x = 75,587,054,761/128,599
  6. Step 6: Final answer
    x = 587,773.27

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.