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Finding the Third Proportional to 85,388 and 127,389

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Solution

The third proportional to 85,388 and 127,389 is: 190,049.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    85,388 : 127,389 = 127,389 : x
  2. Step 2: Convert to fraction form
    85,388/127,389 = 127,389/x
  3. Step 3: Cross multiply
    85,388x = 127,389 × 127,389
  4. Step 4: Simplify right side
    85,388x = 16,227,957,321
  5. Step 5: Solve for x
    x = 16,227,957,321/85,388
  6. Step 6: Final answer
    x = 190,049.62

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.