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Finding the Third Proportional to 189,459 and 291,964.50

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Solution

The third proportional to 189,459 and 291,964.50 is: 449,929.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    189,459 : 291,964.50 = 291,964.50 : x
  2. Step 2: Convert to fraction form
    189,459/291,964.50 = 291,964.50/x
  3. Step 3: Cross multiply
    189,459x = 291,964.50 × 291,964.50
  4. Step 4: Simplify right side
    189,459x = 85,243,269,260.25
  5. Step 5: Solve for x
    x = 85,243,269,260.25/189,459
  6. Step 6: Final answer
    x = 449,929.90

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Why These Related Problems?

These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.