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Finding the Third Proportional to 98,739 and 213,435

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Solution

The third proportional to 98,739 and 213,435 is: 461,362.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    98,739 : 213,435 = 213,435 : x
  2. Step 2: Convert to fraction form
    98,739/213,435 = 213,435/x
  3. Step 3: Cross multiply
    98,739x = 213,435 × 213,435
  4. Step 4: Simplify right side
    98,739x = 45,554,499,225
  5. Step 5: Solve for x
    x = 45,554,499,225/98,739
  6. Step 6: Final answer
    x = 461,362.78

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.