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Finding the Third Proportional to 189,110 and 403,489

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Solution

The third proportional to 189,110 and 403,489 is: 860,892.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    189,110 : 403,489 = 403,489 : x
  2. Step 2: Convert to fraction form
    189,110/403,489 = 403,489/x
  3. Step 3: Cross multiply
    189,110x = 403,489 × 403,489
  4. Step 4: Simplify right side
    189,110x = 162,803,373,121
  5. Step 5: Solve for x
    x = 162,803,373,121/189,110
  6. Step 6: Final answer
    x = 860,892.46

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Why These Related Problems?

These problems maintain the same ratio (2.13) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.