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Finding the Third Proportional to 7,875 and 13,720.50

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Solution

The third proportional to 7,875 and 13,720.50 is: 23,905.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,875 : 13,720.50 = 13,720.50 : x
  2. Step 2: Convert to fraction form
    7,875/13,720.50 = 13,720.50/x
  3. Step 3: Cross multiply
    7,875x = 13,720.50 × 13,720.50
  4. Step 4: Simplify right side
    7,875x = 188,252,120.25
  5. Step 5: Solve for x
    x = 188,252,120.25/7,875
  6. Step 6: Final answer
    x = 23,905.03

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Why These Related Problems?

These problems maintain the same ratio (1.74) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.