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Finding the Third Proportional to 42,740 and 92,772

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Solution

The third proportional to 42,740 and 92,772 is: 201,372.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    42,740 : 92,772 = 92,772 : x
  2. Step 2: Convert to fraction form
    42,740/92,772 = 92,772/x
  3. Step 3: Cross multiply
    42,740x = 92,772 × 92,772
  4. Step 4: Simplify right side
    42,740x = 8,606,643,984
  5. Step 5: Solve for x
    x = 8,606,643,984/42,740
  6. Step 6: Final answer
    x = 201,372.11

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.