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Finding the Third Proportional to 128,695.50 and 283,567.50

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Solution

The third proportional to 128,695.50 and 283,567.50 is: 624,812.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    128,695.50 : 283,567.50 = 283,567.50 : x
  2. Step 2: Convert to fraction form
    128,695.50/283,567.50 = 283,567.50/x
  3. Step 3: Cross multiply
    128,695.50x = 283,567.50 × 283,567.50
  4. Step 4: Simplify right side
    128,695.50x = 80,410,527,056.25
  5. Step 5: Solve for x
    x = 80,410,527,056.25/128,695.50
  6. Step 6: Final answer
    x = 624,812.27

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Why These Related Problems?

These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.