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Finding the Third Proportional to 42,106 and 93,558

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Solution

The third proportional to 42,106 and 93,558 is: 207,882.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    42,106 : 93,558 = 93,558 : x
  2. Step 2: Convert to fraction form
    42,106/93,558 = 93,558/x
  3. Step 3: Cross multiply
    42,106x = 93,558 × 93,558
  4. Step 4: Simplify right side
    42,106x = 8,753,099,364
  5. Step 5: Solve for x
    x = 8,753,099,364/42,106
  6. Step 6: Final answer
    x = 207,882.47

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Why These Related Problems?

These problems maintain the same ratio (2.22) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.