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Finding the Third Proportional to 181,314 and 394,887

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Solution

The third proportional to 181,314 and 394,887 is: 860,031.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    181,314 : 394,887 = 394,887 : x
  2. Step 2: Convert to fraction form
    181,314/394,887 = 394,887/x
  3. Step 3: Cross multiply
    181,314x = 394,887 × 394,887
  4. Step 4: Simplify right side
    181,314x = 155,935,742,769
  5. Step 5: Solve for x
    x = 155,935,742,769/181,314
  6. Step 6: Final answer
    x = 860,031.45

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.