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Finding the Third Proportional to 42,640.50 and 93,045

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Solution

The third proportional to 42,640.50 and 93,045 is: 203,031.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    42,640.50 : 93,045 = 93,045 : x
  2. Step 2: Convert to fraction form
    42,640.50/93,045 = 93,045/x
  3. Step 3: Cross multiply
    42,640.50x = 93,045 × 93,045
  4. Step 4: Simplify right side
    42,640.50x = 8,657,372,025
  5. Step 5: Solve for x
    x = 8,657,372,025/42,640.50
  6. Step 6: Final answer
    x = 203,031.67

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These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.