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Finding the Third Proportional to 128,970.75 and 208,935

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Solution

The third proportional to 128,970.75 and 208,935 is: 338,478.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    128,970.75 : 208,935 = 208,935 : x
  2. Step 2: Convert to fraction form
    128,970.75/208,935 = 208,935/x
  3. Step 3: Cross multiply
    128,970.75x = 208,935 × 208,935
  4. Step 4: Simplify right side
    128,970.75x = 43,653,834,225
  5. Step 5: Solve for x
    x = 43,653,834,225/128,970.75
  6. Step 6: Final answer
    x = 338,478.56

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Why These Related Problems?

These problems maintain the same ratio (1.62) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.