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Finding the Third Proportional to 128,088 and 205,798

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Solution

The third proportional to 128,088 and 205,798 is: 330,654.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    128,088 : 205,798 = 205,798 : x
  2. Step 2: Convert to fraction form
    128,088/205,798 = 205,798/x
  3. Step 3: Cross multiply
    128,088x = 205,798 × 205,798
  4. Step 4: Simplify right side
    128,088x = 42,352,816,804
  5. Step 5: Solve for x
    x = 42,352,816,804/128,088
  6. Step 6: Final answer
    x = 330,654.06

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Why These Related Problems?

These problems maintain the same ratio (1.61) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.