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Finding the Third Proportional to 172,165.50 and 371,995.03

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Solution

The third proportional to 172,165.50 and 371,995.03 is: 803,763.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    172,165.50 : 371,995.03 = 371,995.03 : x
  2. Step 2: Convert to fraction form
    172,165.50/371,995.03 = 371,995.03/x
  3. Step 3: Cross multiply
    172,165.50x = 371,995.03 × 371,995.03
  4. Step 4: Simplify right side
    172,165.50x = 138,380,303,274.69
  5. Step 5: Solve for x
    x = 138,380,303,274.69/172,165.50
  6. Step 6: Final answer
    x = 803,763.26

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.