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Finding the Third Proportional to 42,444 and 93,276

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Solution

The third proportional to 42,444 and 93,276 is: 204,985.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    42,444 : 93,276 = 93,276 : x
  2. Step 2: Convert to fraction form
    42,444/93,276 = 93,276/x
  3. Step 3: Cross multiply
    42,444x = 93,276 × 93,276
  4. Step 4: Simplify right side
    42,444x = 8,700,412,176
  5. Step 5: Solve for x
    x = 8,700,412,176/42,444
  6. Step 6: Final answer
    x = 204,985.68

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Why These Related Problems?

These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.