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Finding the Third Proportional to 98,320.50 and 231,113.25

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Solution

The third proportional to 98,320.50 and 231,113.25 is: 543,257.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    98,320.50 : 231,113.25 = 231,113.25 : x
  2. Step 2: Convert to fraction form
    98,320.50/231,113.25 = 231,113.25/x
  3. Step 3: Cross multiply
    98,320.50x = 231,113.25 × 231,113.25
  4. Step 4: Simplify right side
    98,320.50x = 53,413,334,325.56
  5. Step 5: Solve for x
    x = 53,413,334,325.56/98,320.50
  6. Step 6: Final answer
    x = 543,257.35

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Why These Related Problems?

These problems maintain the same ratio (2.35) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.