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Finding the Third Proportional to 85,410 and 127,719

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Solution

The third proportional to 85,410 and 127,719 is: 190,986.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    85,410 : 127,719 = 127,719 : x
  2. Step 2: Convert to fraction form
    85,410/127,719 = 127,719/x
  3. Step 3: Cross multiply
    85,410x = 127,719 × 127,719
  4. Step 4: Simplify right side
    85,410x = 16,312,142,961
  5. Step 5: Solve for x
    x = 16,312,142,961/85,410
  6. Step 6: Final answer
    x = 190,986.34

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.