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Finding the Third Proportional to 170,457.86 and 260,876.64

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Solution

The third proportional to 170,457.86 and 260,876.64 is: 399,257.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    170,457.86 : 260,876.64 = 260,876.64 : x
  2. Step 2: Convert to fraction form
    170,457.86/260,876.64 = 260,876.64/x
  3. Step 3: Cross multiply
    170,457.86x = 260,876.64 × 260,876.64
  4. Step 4: Simplify right side
    170,457.86x = 68,056,619,585.69
  5. Step 5: Solve for x
    x = 68,056,619,585.69/170,457.86
  6. Step 6: Final answer
    x = 399,257.75

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Why These Related Problems?

These problems maintain the same ratio (1.53) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.