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Finding the Third Proportional to 74,519 and 174,935

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Solution

The third proportional to 74,519 and 174,935 is: 410,663.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    74,519 : 174,935 = 174,935 : x
  2. Step 2: Convert to fraction form
    74,519/174,935 = 174,935/x
  3. Step 3: Cross multiply
    74,519x = 174,935 × 174,935
  4. Step 4: Simplify right side
    74,519x = 30,602,254,225
  5. Step 5: Solve for x
    x = 30,602,254,225/74,519
  6. Step 6: Final answer
    x = 410,663.78

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Why These Related Problems?

These problems maintain the same ratio (2.35) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.