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Finding the Third Proportional to 98,586 and 213,780

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Solution

The third proportional to 98,586 and 213,780 is: 463,573.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    98,586 : 213,780 = 213,780 : x
  2. Step 2: Convert to fraction form
    98,586/213,780 = 213,780/x
  3. Step 3: Cross multiply
    98,586x = 213,780 × 213,780
  4. Step 4: Simplify right side
    98,586x = 45,701,888,400
  5. Step 5: Solve for x
    x = 45,701,888,400/98,586
  6. Step 6: Final answer
    x = 463,573.82

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.