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Finding the Third Proportional to 42,705.56 and 93,454.78

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Solution

The third proportional to 42,705.56 and 93,454.78 is: 204,511.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    42,705.56 : 93,454.78 = 93,454.78 : x
  2. Step 2: Convert to fraction form
    42,705.56/93,454.78 = 93,454.78/x
  3. Step 3: Cross multiply
    42,705.56x = 93,454.78 × 93,454.78
  4. Step 4: Simplify right side
    42,705.56x = 8,733,796,138.49
  5. Step 5: Solve for x
    x = 8,733,796,138.49/42,705.56
  6. Step 6: Final answer
    x = 204,511.91

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These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.