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Finding the Third Proportional to 173,518 and 401,655

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Solution

The third proportional to 173,518 and 401,655 is: 929,740.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    173,518 : 401,655 = 401,655 : x
  2. Step 2: Convert to fraction form
    173,518/401,655 = 401,655/x
  3. Step 3: Cross multiply
    173,518x = 401,655 × 401,655
  4. Step 4: Simplify right side
    173,518x = 161,326,739,025
  5. Step 5: Solve for x
    x = 161,326,739,025/173,518
  6. Step 6: Final answer
    x = 929,740.66

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Why These Related Problems?

These problems maintain the same ratio (2.31) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.