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Finding the Third Proportional to 98,538 and 223,381.50

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Solution

The third proportional to 98,538 and 223,381.50 is: 506,396.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    98,538 : 223,381.50 = 223,381.50 : x
  2. Step 2: Convert to fraction form
    98,538/223,381.50 = 223,381.50/x
  3. Step 3: Cross multiply
    98,538x = 223,381.50 × 223,381.50
  4. Step 4: Simplify right side
    98,538x = 49,899,294,542.25
  5. Step 5: Solve for x
    x = 49,899,294,542.25/98,538
  6. Step 6: Final answer
    x = 506,396.46

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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.