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Finding the Third Proportional to 189,000 and 409,032

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Solution

The third proportional to 189,000 and 409,032 is: 885,223.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    189,000 : 409,032 = 409,032 : x
  2. Step 2: Convert to fraction form
    189,000/409,032 = 409,032/x
  3. Step 3: Cross multiply
    189,000x = 409,032 × 409,032
  4. Step 4: Simplify right side
    189,000x = 167,307,177,024
  5. Step 5: Solve for x
    x = 167,307,177,024/189,000
  6. Step 6: Final answer
    x = 885,223.16

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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.