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Finding the Third Proportional to 164,478.94 and 205,890.19

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Solution

The third proportional to 164,478.94 and 205,890.19 is: 257,727.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    164,478.94 : 205,890.19 = 205,890.19 : x
  2. Step 2: Convert to fraction form
    164,478.94/205,890.19 = 205,890.19/x
  3. Step 3: Cross multiply
    164,478.94x = 205,890.19 × 205,890.19
  4. Step 4: Simplify right side
    164,478.94x = 42,390,769,308.79
  5. Step 5: Solve for x
    x = 42,390,769,308.79/164,478.94
  6. Step 6: Final answer
    x = 257,727.65

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Why These Related Problems?

These problems maintain the same ratio (1.25) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.