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Finding the Third Proportional to 128,986 and 195,426

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Solution

The third proportional to 128,986 and 195,426 is: 296,088.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    128,986 : 195,426 = 195,426 : x
  2. Step 2: Convert to fraction form
    128,986/195,426 = 195,426/x
  3. Step 3: Cross multiply
    128,986x = 195,426 × 195,426
  4. Step 4: Simplify right side
    128,986x = 38,191,321,476
  5. Step 5: Solve for x
    x = 38,191,321,476/128,986
  6. Step 6: Final answer
    x = 296,088.89

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Why These Related Problems?

These problems maintain the same ratio (1.52) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.