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Finding the Third Proportional to 136,449 and 210,505.50

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Solution

The third proportional to 136,449 and 210,505.50 is: 324,755.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    136,449 : 210,505.50 = 210,505.50 : x
  2. Step 2: Convert to fraction form
    136,449/210,505.50 = 210,505.50/x
  3. Step 3: Cross multiply
    136,449x = 210,505.50 × 210,505.50
  4. Step 4: Simplify right side
    136,449x = 44,312,565,530.25
  5. Step 5: Solve for x
    x = 44,312,565,530.25/136,449
  6. Step 6: Final answer
    x = 324,755.52

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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.