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Finding the Third Proportional to 131,440 and 203,336

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Solution

The third proportional to 131,440 and 203,336 is: 314,558.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    131,440 : 203,336 = 203,336 : x
  2. Step 2: Convert to fraction form
    131,440/203,336 = 203,336/x
  3. Step 3: Cross multiply
    131,440x = 203,336 × 203,336
  4. Step 4: Simplify right side
    131,440x = 41,345,528,896
  5. Step 5: Solve for x
    x = 41,345,528,896/131,440
  6. Step 6: Final answer
    x = 314,558.19

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.