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Finding the Third Proportional to 84,309 and 127,020

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Solution

The third proportional to 84,309 and 127,020 is: 191,368.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    84,309 : 127,020 = 127,020 : x
  2. Step 2: Convert to fraction form
    84,309/127,020 = 127,020/x
  3. Step 3: Cross multiply
    84,309x = 127,020 × 127,020
  4. Step 4: Simplify right side
    84,309x = 16,134,080,400
  5. Step 5: Solve for x
    x = 16,134,080,400/84,309
  6. Step 6: Final answer
    x = 191,368.42

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.