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Finding the Third Proportional to 189,043 and 409,117

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Solution

The third proportional to 189,043 and 409,117 is: 885,389.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    189,043 : 409,117 = 409,117 : x
  2. Step 2: Convert to fraction form
    189,043/409,117 = 409,117/x
  3. Step 3: Cross multiply
    189,043x = 409,117 × 409,117
  4. Step 4: Simplify right side
    189,043x = 167,376,719,689
  5. Step 5: Solve for x
    x = 167,376,719,689/189,043
  6. Step 6: Final answer
    x = 885,389.67

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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.