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Finding the Third Proportional to 131,256 and 286,569

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Solution

The third proportional to 131,256 and 286,569 is: 625,661.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    131,256 : 286,569 = 286,569 : x
  2. Step 2: Convert to fraction form
    131,256/286,569 = 286,569/x
  3. Step 3: Cross multiply
    131,256x = 286,569 × 286,569
  4. Step 4: Simplify right side
    131,256x = 82,121,791,761
  5. Step 5: Solve for x
    x = 82,121,791,761/131,256
  6. Step 6: Final answer
    x = 625,661.24

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.