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Finding the Third Proportional to 250,035 and 387,265

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Solution

The third proportional to 250,035 and 387,265 is: 599,812.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    250,035 : 387,265 = 387,265 : x
  2. Step 2: Convert to fraction form
    250,035/387,265 = 387,265/x
  3. Step 3: Cross multiply
    250,035x = 387,265 × 387,265
  4. Step 4: Simplify right side
    250,035x = 149,974,180,225
  5. Step 5: Solve for x
    x = 149,974,180,225/250,035
  6. Step 6: Final answer
    x = 599,812.75

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.