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Finding the Third Proportional to 131,346 and 208,014.75

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Solution

The third proportional to 131,346 and 208,014.75 is: 329,436.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    131,346 : 208,014.75 = 208,014.75 : x
  2. Step 2: Convert to fraction form
    131,346/208,014.75 = 208,014.75/x
  3. Step 3: Cross multiply
    131,346x = 208,014.75 × 208,014.75
  4. Step 4: Simplify right side
    131,346x = 43,270,136,217.56
  5. Step 5: Solve for x
    x = 43,270,136,217.56/131,346
  6. Step 6: Final answer
    x = 329,436.27

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Why These Related Problems?

These problems maintain the same ratio (1.58) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.