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Finding the Third Proportional to 98,486 and 208,788

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Solution

The third proportional to 98,486 and 208,788 is: 442,625.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    98,486 : 208,788 = 208,788 : x
  2. Step 2: Convert to fraction form
    98,486/208,788 = 208,788/x
  3. Step 3: Cross multiply
    98,486x = 208,788 × 208,788
  4. Step 4: Simplify right side
    98,486x = 43,592,428,944
  5. Step 5: Solve for x
    x = 43,592,428,944/98,486
  6. Step 6: Final answer
    x = 442,625.64

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Why These Related Problems?

These problems maintain the same ratio (2.12) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.