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Finding the Third Proportional to 42,777 and 93,471

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Solution

The third proportional to 42,777 and 93,471 is: 204,241.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    42,777 : 93,471 = 93,471 : x
  2. Step 2: Convert to fraction form
    42,777/93,471 = 93,471/x
  3. Step 3: Cross multiply
    42,777x = 93,471 × 93,471
  4. Step 4: Simplify right side
    42,777x = 8,736,827,841
  5. Step 5: Solve for x
    x = 8,736,827,841/42,777
  6. Step 6: Final answer
    x = 204,241.25

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Why These Related Problems?

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