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Finding the Third Proportional to 128,412 and 276,587

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Solution

The third proportional to 128,412 and 276,587 is: 595,741.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    128,412 : 276,587 = 276,587 : x
  2. Step 2: Convert to fraction form
    128,412/276,587 = 276,587/x
  3. Step 3: Cross multiply
    128,412x = 276,587 × 276,587
  4. Step 4: Simplify right side
    128,412x = 76,500,368,569
  5. Step 5: Solve for x
    x = 76,500,368,569/128,412
  6. Step 6: Final answer
    x = 595,741.59

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.