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Finding the Third Proportional to 135,469 and 210,957

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Solution

The third proportional to 135,469 and 210,957 is: 328,509.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    135,469 : 210,957 = 210,957 : x
  2. Step 2: Convert to fraction form
    135,469/210,957 = 210,957/x
  3. Step 3: Cross multiply
    135,469x = 210,957 × 210,957
  4. Step 4: Simplify right side
    135,469x = 44,502,855,849
  5. Step 5: Solve for x
    x = 44,502,855,849/135,469
  6. Step 6: Final answer
    x = 328,509.52

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Why These Related Problems?

These problems maintain the same ratio (1.56) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.