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Finding the Third Proportional to 131,402 and 202,937

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Solution

The third proportional to 131,402 and 202,937 is: 313,415.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    131,402 : 202,937 = 202,937 : x
  2. Step 2: Convert to fraction form
    131,402/202,937 = 202,937/x
  3. Step 3: Cross multiply
    131,402x = 202,937 × 202,937
  4. Step 4: Simplify right side
    131,402x = 41,183,425,969
  5. Step 5: Solve for x
    x = 41,183,425,969/131,402
  6. Step 6: Final answer
    x = 313,415.52

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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.