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Finding the Third Proportional to 287,512.03 and 417,879

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Solution

The third proportional to 287,512.03 and 417,879 is: 607,358.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    287,512.03 : 417,879 = 417,879 : x
  2. Step 2: Convert to fraction form
    287,512.03/417,879 = 417,879/x
  3. Step 3: Cross multiply
    287,512.03x = 417,879 × 417,879
  4. Step 4: Simplify right side
    287,512.03x = 174,622,858,641
  5. Step 5: Solve for x
    x = 174,622,858,641/287,512.03
  6. Step 6: Final answer
    x = 607,358.44

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Why These Related Problems?

These problems maintain the same ratio (1.45) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.