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Finding the Third Proportional to 189,709 and 253,754

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Solution

The third proportional to 189,709 and 253,754 is: 339,420.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    189,709 : 253,754 = 253,754 : x
  2. Step 2: Convert to fraction form
    189,709/253,754 = 253,754/x
  3. Step 3: Cross multiply
    189,709x = 253,754 × 253,754
  4. Step 4: Simplify right side
    189,709x = 64,391,092,516
  5. Step 5: Solve for x
    x = 64,391,092,516/189,709
  6. Step 6: Final answer
    x = 339,420.34

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Why These Related Problems?

These problems maintain the same ratio (1.34) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.