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Finding the Third Proportional to 128,887 and 282,989

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Solution

The third proportional to 128,887 and 282,989 is: 621,340.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    128,887 : 282,989 = 282,989 : x
  2. Step 2: Convert to fraction form
    128,887/282,989 = 282,989/x
  3. Step 3: Cross multiply
    128,887x = 282,989 × 282,989
  4. Step 4: Simplify right side
    128,887x = 80,082,774,121
  5. Step 5: Solve for x
    x = 80,082,774,121/128,887
  6. Step 6: Final answer
    x = 621,340.97

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Why These Related Problems?

These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.