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Finding the Third Proportional to 147,872 and 208,272

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Solution

The third proportional to 147,872 and 208,272 is: 293,343.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    147,872 : 208,272 = 208,272 : x
  2. Step 2: Convert to fraction form
    147,872/208,272 = 208,272/x
  3. Step 3: Cross multiply
    147,872x = 208,272 × 208,272
  4. Step 4: Simplify right side
    147,872x = 43,377,225,984
  5. Step 5: Solve for x
    x = 43,377,225,984/147,872
  6. Step 6: Final answer
    x = 293,343.07

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Why These Related Problems?

These problems maintain the same ratio (1.41) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.