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Finding the Third Proportional to 108,145.13 and 161,321.63

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Solution

The third proportional to 108,145.13 and 161,321.63 is: 240,645.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    108,145.13 : 161,321.63 = 161,321.63 : x
  2. Step 2: Convert to fraction form
    108,145.13/161,321.63 = 161,321.63/x
  3. Step 3: Cross multiply
    108,145.13x = 161,321.63 × 161,321.63
  4. Step 4: Simplify right side
    108,145.13x = 26,024,666,692.64
  5. Step 5: Solve for x
    x = 26,024,666,692.64/108,145.13
  6. Step 6: Final answer
    x = 240,645.77

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.