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Finding the Third Proportional to 172,159.50 and 230,901.75

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Solution

The third proportional to 172,159.50 and 230,901.75 is: 309,687.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    172,159.50 : 230,901.75 = 230,901.75 : x
  2. Step 2: Convert to fraction form
    172,159.50/230,901.75 = 230,901.75/x
  3. Step 3: Cross multiply
    172,159.50x = 230,901.75 × 230,901.75
  4. Step 4: Simplify right side
    172,159.50x = 53,315,618,153.06
  5. Step 5: Solve for x
    x = 53,315,618,153.06/172,159.50
  6. Step 6: Final answer
    x = 309,687.34

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Why These Related Problems?

These problems maintain the same ratio (1.34) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.