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Finding the Third Proportional to 137,128.50 and 208,341

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Solution

The third proportional to 137,128.50 and 208,341 is: 316,535.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    137,128.50 : 208,341 = 208,341 : x
  2. Step 2: Convert to fraction form
    137,128.50/208,341 = 208,341/x
  3. Step 3: Cross multiply
    137,128.50x = 208,341 × 208,341
  4. Step 4: Simplify right side
    137,128.50x = 43,405,972,281
  5. Step 5: Solve for x
    x = 43,405,972,281/137,128.50
  6. Step 6: Final answer
    x = 316,535.02

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Why These Related Problems?

These problems maintain the same ratio (1.52) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.