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Finding the Third Proportional to 85,428 and 127,453.50

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Solution

The third proportional to 85,428 and 127,453.50 is: 190,153.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    85,428 : 127,453.50 = 127,453.50 : x
  2. Step 2: Convert to fraction form
    85,428/127,453.50 = 127,453.50/x
  3. Step 3: Cross multiply
    85,428x = 127,453.50 × 127,453.50
  4. Step 4: Simplify right side
    85,428x = 16,244,394,662.25
  5. Step 5: Solve for x
    x = 16,244,394,662.25/85,428
  6. Step 6: Final answer
    x = 190,153.05

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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.