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Finding the Third Proportional to 7,641 and 13,459.50

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Solution

The third proportional to 7,641 and 13,459.50 is: 23,708.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,641 : 13,459.50 = 13,459.50 : x
  2. Step 2: Convert to fraction form
    7,641/13,459.50 = 13,459.50/x
  3. Step 3: Cross multiply
    7,641x = 13,459.50 × 13,459.50
  4. Step 4: Simplify right side
    7,641x = 181,158,140.25
  5. Step 5: Solve for x
    x = 181,158,140.25/7,641
  6. Step 6: Final answer
    x = 23,708.70

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Why These Related Problems?

These problems maintain the same ratio (1.76) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.