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Finding the Third Proportional to 287,055 and 410,895

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Solution

The third proportional to 287,055 and 410,895 is: 588,161.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    287,055 : 410,895 = 410,895 : x
  2. Step 2: Convert to fraction form
    287,055/410,895 = 410,895/x
  3. Step 3: Cross multiply
    287,055x = 410,895 × 410,895
  4. Step 4: Simplify right side
    287,055x = 168,834,701,025
  5. Step 5: Solve for x
    x = 168,834,701,025/287,055
  6. Step 6: Final answer
    x = 588,161.51

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Why These Related Problems?

These problems maintain the same ratio (1.43) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.