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Finding the Third Proportional to 174,820 and 377,288

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Solution

The third proportional to 174,820 and 377,288 is: 814,244.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    174,820 : 377,288 = 377,288 : x
  2. Step 2: Convert to fraction form
    174,820/377,288 = 377,288/x
  3. Step 3: Cross multiply
    174,820x = 377,288 × 377,288
  4. Step 4: Simplify right side
    174,820x = 142,346,234,944
  5. Step 5: Solve for x
    x = 142,346,234,944/174,820
  6. Step 6: Final answer
    x = 814,244.57

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.