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Finding the Third Proportional to 98,786 and 212,580

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Solution

The third proportional to 98,786 and 212,580 is: 457,456.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    98,786 : 212,580 = 212,580 : x
  2. Step 2: Convert to fraction form
    98,786/212,580 = 212,580/x
  3. Step 3: Cross multiply
    98,786x = 212,580 × 212,580
  4. Step 4: Simplify right side
    98,786x = 45,190,256,400
  5. Step 5: Solve for x
    x = 45,190,256,400/98,786
  6. Step 6: Final answer
    x = 457,456.08

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.