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Finding the Third Proportional to 131,244 and 286,545

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Solution

The third proportional to 131,244 and 286,545 is: 625,613.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    131,244 : 286,545 = 286,545 : x
  2. Step 2: Convert to fraction form
    131,244/286,545 = 286,545/x
  3. Step 3: Cross multiply
    131,244x = 286,545 × 286,545
  4. Step 4: Simplify right side
    131,244x = 82,108,037,025
  5. Step 5: Solve for x
    x = 82,108,037,025/131,244
  6. Step 6: Final answer
    x = 625,613.64

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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.