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Finding the Third Proportional to 15,412.50 and 20,607.75

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Solution

The third proportional to 15,412.50 and 20,607.75 is: 27,554.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,412.50 : 20,607.75 = 20,607.75 : x
  2. Step 2: Convert to fraction form
    15,412.50/20,607.75 = 20,607.75/x
  3. Step 3: Cross multiply
    15,412.50x = 20,607.75 × 20,607.75
  4. Step 4: Simplify right side
    15,412.50x = 424,679,360.06
  5. Step 5: Solve for x
    x = 424,679,360.06/15,412.50
  6. Step 6: Final answer
    x = 27,554.22

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Why These Related Problems?

These problems maintain the same ratio (1.34) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.