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Finding the Third Proportional to 189,776 and 412,960

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Solution

The third proportional to 189,776 and 412,960 is: 898,617.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    189,776 : 412,960 = 412,960 : x
  2. Step 2: Convert to fraction form
    189,776/412,960 = 412,960/x
  3. Step 3: Cross multiply
    189,776x = 412,960 × 412,960
  4. Step 4: Simplify right side
    189,776x = 170,535,961,600
  5. Step 5: Solve for x
    x = 170,535,961,600/189,776
  6. Step 6: Final answer
    x = 898,617.11

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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.