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Finding the Third Proportional to 129,580 and 199,892

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Solution

The third proportional to 129,580 and 199,892 is: 308,356.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    129,580 : 199,892 = 199,892 : x
  2. Step 2: Convert to fraction form
    129,580/199,892 = 199,892/x
  3. Step 3: Cross multiply
    129,580x = 199,892 × 199,892
  4. Step 4: Simplify right side
    129,580x = 39,956,811,664
  5. Step 5: Solve for x
    x = 39,956,811,664/129,580
  6. Step 6: Final answer
    x = 308,356.32

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Why These Related Problems?

These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.