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Finding the Third Proportional to 42,520 and 93,104

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Solution

The third proportional to 42,520 and 93,104 is: 203,865.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    42,520 : 93,104 = 93,104 : x
  2. Step 2: Convert to fraction form
    42,520/93,104 = 93,104/x
  3. Step 3: Cross multiply
    42,520x = 93,104 × 93,104
  4. Step 4: Simplify right side
    42,520x = 8,668,354,816
  5. Step 5: Solve for x
    x = 8,668,354,816/42,520
  6. Step 6: Final answer
    x = 203,865.35

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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.