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Finding the Third Proportional to 42,852 and 93,320

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Solution

The third proportional to 42,852 and 93,320 is: 203,225.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    42,852 : 93,320 = 93,320 : x
  2. Step 2: Convert to fraction form
    42,852/93,320 = 93,320/x
  3. Step 3: Cross multiply
    42,852x = 93,320 × 93,320
  4. Step 4: Simplify right side
    42,852x = 8,708,622,400
  5. Step 5: Solve for x
    x = 8,708,622,400/42,852
  6. Step 6: Final answer
    x = 203,225.58

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.