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Finding the Third Proportional to 131,271 and 288,783

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Solution

The third proportional to 131,271 and 288,783 is: 635,293.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    131,271 : 288,783 = 288,783 : x
  2. Step 2: Convert to fraction form
    131,271/288,783 = 288,783/x
  3. Step 3: Cross multiply
    131,271x = 288,783 × 288,783
  4. Step 4: Simplify right side
    131,271x = 83,395,621,089
  5. Step 5: Solve for x
    x = 83,395,621,089/131,271
  6. Step 6: Final answer
    x = 635,293.56

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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.