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Finding the Third Proportional to 286,413 and 617,088

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Solution

The third proportional to 286,413 and 617,088 is: 1,329,540.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    286,413 : 617,088 = 617,088 : x
  2. Step 2: Convert to fraction form
    286,413/617,088 = 617,088/x
  3. Step 3: Cross multiply
    286,413x = 617,088 × 617,088
  4. Step 4: Simplify right side
    286,413x = 380,797,599,744
  5. Step 5: Solve for x
    x = 380,797,599,744/286,413
  6. Step 6: Final answer
    x = 1,329,540.21

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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.