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Finding the Third Proportional to 15,459 and 39,157.50

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Solution

The third proportional to 15,459 and 39,157.50 is: 99,185.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,459 : 39,157.50 = 39,157.50 : x
  2. Step 2: Convert to fraction form
    15,459/39,157.50 = 39,157.50/x
  3. Step 3: Cross multiply
    15,459x = 39,157.50 × 39,157.50
  4. Step 4: Simplify right side
    15,459x = 1,533,309,806.25
  5. Step 5: Solve for x
    x = 1,533,309,806.25/15,459
  6. Step 6: Final answer
    x = 99,185.58

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Why These Related Problems?

These problems maintain the same ratio (2.53) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.