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Finding the Third Proportional to 40,377 and 93,832.50

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Solution

The third proportional to 40,377 and 93,832.50 is: 218,058.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    40,377 : 93,832.50 = 93,832.50 : x
  2. Step 2: Convert to fraction form
    40,377/93,832.50 = 93,832.50/x
  3. Step 3: Cross multiply
    40,377x = 93,832.50 × 93,832.50
  4. Step 4: Simplify right side
    40,377x = 8,804,538,056.25
  5. Step 5: Solve for x
    x = 8,804,538,056.25/40,377
  6. Step 6: Final answer
    x = 218,058.25

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Why These Related Problems?

These problems maintain the same ratio (2.32) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.