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Finding the Third Proportional to 108,428 and 169,199.75

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Solution

The third proportional to 108,428 and 169,199.75 is: 264,032.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    108,428 : 169,199.75 = 169,199.75 : x
  2. Step 2: Convert to fraction form
    108,428/169,199.75 = 169,199.75/x
  3. Step 3: Cross multiply
    108,428x = 169,199.75 × 169,199.75
  4. Step 4: Simplify right side
    108,428x = 28,628,555,400.06
  5. Step 5: Solve for x
    x = 28,628,555,400.06/108,428
  6. Step 6: Final answer
    x = 264,032.86

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Why These Related Problems?

These problems maintain the same ratio (1.56) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.