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Finding the Third Proportional to 174,935 and 256,815

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Solution

The third proportional to 174,935 and 256,815 is: 377,019.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    174,935 : 256,815 = 256,815 : x
  2. Step 2: Convert to fraction form
    174,935/256,815 = 256,815/x
  3. Step 3: Cross multiply
    174,935x = 256,815 × 256,815
  4. Step 4: Simplify right side
    174,935x = 65,953,944,225
  5. Step 5: Solve for x
    x = 65,953,944,225/174,935
  6. Step 6: Final answer
    x = 377,019.72

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Why These Related Problems?

These problems maintain the same ratio (1.47) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.