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Finding the Third Proportional to 131,371 and 288,985

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Solution

The third proportional to 131,371 and 288,985 is: 635,698.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    131,371 : 288,985 = 288,985 : x
  2. Step 2: Convert to fraction form
    131,371/288,985 = 288,985/x
  3. Step 3: Cross multiply
    131,371x = 288,985 × 288,985
  4. Step 4: Simplify right side
    131,371x = 83,512,330,225
  5. Step 5: Solve for x
    x = 83,512,330,225/131,371
  6. Step 6: Final answer
    x = 635,698.37

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Why These Related Problems?

These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.