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Finding the Third Proportional to 42,103.50 and 93,553.50

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Solution

The third proportional to 42,103.50 and 93,553.50 is: 207,874.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    42,103.50 : 93,553.50 = 93,553.50 : x
  2. Step 2: Convert to fraction form
    42,103.50/93,553.50 = 93,553.50/x
  3. Step 3: Cross multiply
    42,103.50x = 93,553.50 × 93,553.50
  4. Step 4: Simplify right side
    42,103.50x = 8,752,257,362.25
  5. Step 5: Solve for x
    x = 8,752,257,362.25/42,103.50
  6. Step 6: Final answer
    x = 207,874.82

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These problems maintain the same ratio (2.22) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.