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Finding the Third Proportional to 108,346.36 and 168,421.78

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Solution

The third proportional to 108,346.36 and 168,421.78 is: 261,807.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    108,346.36 : 168,421.78 = 168,421.78 : x
  2. Step 2: Convert to fraction form
    108,346.36/168,421.78 = 168,421.78/x
  3. Step 3: Cross multiply
    108,346.36x = 168,421.78 × 168,421.78
  4. Step 4: Simplify right side
    108,346.36x = 28,365,896,399.42
  5. Step 5: Solve for x
    x = 28,365,896,399.42/108,346.36
  6. Step 6: Final answer
    x = 261,807.56

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.