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Finding the Third Proportional to 85,437 and 127,683

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Solution

The third proportional to 85,437 and 127,683 is: 190,818.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    85,437 : 127,683 = 127,683 : x
  2. Step 2: Convert to fraction form
    85,437/127,683 = 127,683/x
  3. Step 3: Cross multiply
    85,437x = 127,683 × 127,683
  4. Step 4: Simplify right side
    85,437x = 16,302,948,489
  5. Step 5: Solve for x
    x = 16,302,948,489/85,437
  6. Step 6: Final answer
    x = 190,818.36

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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.