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Finding the Third Proportional to 81,576 and 119,434.50

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Solution

The third proportional to 81,576 and 119,434.50 is: 174,862.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    81,576 : 119,434.50 = 119,434.50 : x
  2. Step 2: Convert to fraction form
    81,576/119,434.50 = 119,434.50/x
  3. Step 3: Cross multiply
    81,576x = 119,434.50 × 119,434.50
  4. Step 4: Simplify right side
    81,576x = 14,264,599,790.25
  5. Step 5: Solve for x
    x = 14,264,599,790.25/81,576
  6. Step 6: Final answer
    x = 174,862.70

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Why These Related Problems?

These problems maintain the same ratio (1.46) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.