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Finding the Third Proportional to 71,770.50 and 102,735

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Solution

The third proportional to 71,770.50 and 102,735 is: 147,058.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    71,770.50 : 102,735 = 102,735 : x
  2. Step 2: Convert to fraction form
    71,770.50/102,735 = 102,735/x
  3. Step 3: Cross multiply
    71,770.50x = 102,735 × 102,735
  4. Step 4: Simplify right side
    71,770.50x = 10,554,480,225
  5. Step 5: Solve for x
    x = 10,554,480,225/71,770.50
  6. Step 6: Final answer
    x = 147,058.75

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Why These Related Problems?

These problems maintain the same ratio (1.43) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.