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Finding the Third Proportional to 162,135 and 378,702

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Solution

The third proportional to 162,135 and 378,702 is: 884,541.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    162,135 : 378,702 = 378,702 : x
  2. Step 2: Convert to fraction form
    162,135/378,702 = 378,702/x
  3. Step 3: Cross multiply
    162,135x = 378,702 × 378,702
  4. Step 4: Simplify right side
    162,135x = 143,415,204,804
  5. Step 5: Solve for x
    x = 143,415,204,804/162,135
  6. Step 6: Final answer
    x = 884,541.92

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Why These Related Problems?

These problems maintain the same ratio (2.34) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.