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Finding the Third Proportional to 144,064.50 and 208,129.88

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Solution

The third proportional to 144,064.50 and 208,129.88 is: 300,685.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    144,064.50 : 208,129.88 = 208,129.88 : x
  2. Step 2: Convert to fraction form
    144,064.50/208,129.88 = 208,129.88/x
  3. Step 3: Cross multiply
    144,064.50x = 208,129.88 × 208,129.88
  4. Step 4: Simplify right side
    144,064.50x = 43,318,044,867.52
  5. Step 5: Solve for x
    x = 43,318,044,867.52/144,064.50
  6. Step 6: Final answer
    x = 300,685.07

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Why These Related Problems?

These problems maintain the same ratio (1.44) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.