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Finding the Third Proportional to 280,140 and 599,640

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Solution

The third proportional to 280,140 and 599,640 is: 1,283,530.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    280,140 : 599,640 = 599,640 : x
  2. Step 2: Convert to fraction form
    280,140/599,640 = 599,640/x
  3. Step 3: Cross multiply
    280,140x = 599,640 × 599,640
  4. Step 4: Simplify right side
    280,140x = 359,568,129,600
  5. Step 5: Solve for x
    x = 359,568,129,600/280,140
  6. Step 6: Final answer
    x = 1,283,530.13

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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.