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Finding the Third Proportional to 172,536 and 263,412

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Solution

The third proportional to 172,536 and 263,412 is: 402,153.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    172,536 : 263,412 = 263,412 : x
  2. Step 2: Convert to fraction form
    172,536/263,412 = 263,412/x
  3. Step 3: Cross multiply
    172,536x = 263,412 × 263,412
  4. Step 4: Simplify right side
    172,536x = 69,385,881,744
  5. Step 5: Solve for x
    x = 69,385,881,744/172,536
  6. Step 6: Final answer
    x = 402,153.07

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Why These Related Problems?

These problems maintain the same ratio (1.53) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.