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Finding the Third Proportional to 85,768 and 127,402

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Solution

The third proportional to 85,768 and 127,402 is: 189,246.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    85,768 : 127,402 = 127,402 : x
  2. Step 2: Convert to fraction form
    85,768/127,402 = 127,402/x
  3. Step 3: Cross multiply
    85,768x = 127,402 × 127,402
  4. Step 4: Simplify right side
    85,768x = 16,231,269,604
  5. Step 5: Solve for x
    x = 16,231,269,604/85,768
  6. Step 6: Final answer
    x = 189,246.22

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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.