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Finding the Third Proportional to 131,526 and 202,377

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Solution

The third proportional to 131,526 and 202,377 is: 311,394.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    131,526 : 202,377 = 202,377 : x
  2. Step 2: Convert to fraction form
    131,526/202,377 = 202,377/x
  3. Step 3: Cross multiply
    131,526x = 202,377 × 202,377
  4. Step 4: Simplify right side
    131,526x = 40,956,450,129
  5. Step 5: Solve for x
    x = 40,956,450,129/131,526
  6. Step 6: Final answer
    x = 311,394.33

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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.