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Finding the Third Proportional to 108,119.81 and 172,173.09

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Solution

The third proportional to 108,119.81 and 172,173.09 is: 274,173.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    108,119.81 : 172,173.09 = 172,173.09 : x
  2. Step 2: Convert to fraction form
    108,119.81/172,173.09 = 172,173.09/x
  3. Step 3: Cross multiply
    108,119.81x = 172,173.09 × 172,173.09
  4. Step 4: Simplify right side
    108,119.81x = 29,643,574,211.45
  5. Step 5: Solve for x
    x = 29,643,574,211.45/108,119.81
  6. Step 6: Final answer
    x = 274,173.38

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Why These Related Problems?

These problems maintain the same ratio (1.59) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.