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Finding the Third Proportional to 301,389 and 413,265

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Solution

The third proportional to 301,389 and 413,265 is: 566,669.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    301,389 : 413,265 = 413,265 : x
  2. Step 2: Convert to fraction form
    301,389/413,265 = 413,265/x
  3. Step 3: Cross multiply
    301,389x = 413,265 × 413,265
  4. Step 4: Simplify right side
    301,389x = 170,787,960,225
  5. Step 5: Solve for x
    x = 170,787,960,225/301,389
  6. Step 6: Final answer
    x = 566,669.52

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Why These Related Problems?

These problems maintain the same ratio (1.37) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.