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Finding the Third Proportional to 98,536.50 and 223,377.75

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Solution

The third proportional to 98,536.50 and 223,377.75 is: 506,387.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    98,536.50 : 223,377.75 = 223,377.75 : x
  2. Step 2: Convert to fraction form
    98,536.50/223,377.75 = 223,377.75/x
  3. Step 3: Cross multiply
    98,536.50x = 223,377.75 × 223,377.75
  4. Step 4: Simplify right side
    98,536.50x = 49,897,619,195.06
  5. Step 5: Solve for x
    x = 49,897,619,195.06/98,536.50
  6. Step 6: Final answer
    x = 506,387.17

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Why These Related Problems?

These problems maintain the same ratio (2.27) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.