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Finding the Third Proportional to 98,961 and 207,642

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Solution

The third proportional to 98,961 and 207,642 is: 435,678.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    98,961 : 207,642 = 207,642 : x
  2. Step 2: Convert to fraction form
    98,961/207,642 = 207,642/x
  3. Step 3: Cross multiply
    98,961x = 207,642 × 207,642
  4. Step 4: Simplify right side
    98,961x = 43,115,200,164
  5. Step 5: Solve for x
    x = 43,115,200,164/98,961
  6. Step 6: Final answer
    x = 435,678.70

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Why These Related Problems?

These problems maintain the same ratio (2.10) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.