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Finding the Third Proportional to 208,959 and 272,208

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Solution

The third proportional to 208,959 and 272,208 is: 354,601.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    208,959 : 272,208 = 272,208 : x
  2. Step 2: Convert to fraction form
    208,959/272,208 = 272,208/x
  3. Step 3: Cross multiply
    208,959x = 272,208 × 272,208
  4. Step 4: Simplify right side
    208,959x = 74,097,195,264
  5. Step 5: Solve for x
    x = 74,097,195,264/208,959
  6. Step 6: Final answer
    x = 354,601.60

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Why These Related Problems?

These problems maintain the same ratio (1.30) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.