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Finding the Third Proportional to 98,578.13 and 213,764.06

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Solution

The third proportional to 98,578.13 and 213,764.06 is: 463,541.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    98,578.13 : 213,764.06 = 213,764.06 : x
  2. Step 2: Convert to fraction form
    98,578.13/213,764.06 = 213,764.06/x
  3. Step 3: Cross multiply
    98,578.13x = 213,764.06 × 213,764.06
  4. Step 4: Simplify right side
    98,578.13x = 45,695,074,416.50
  5. Step 5: Solve for x
    x = 45,695,074,416.50/98,578.13
  6. Step 6: Final answer
    x = 463,541.73

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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.