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Finding the Third Proportional to 128,800.50 and 283,291.50

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Solution

The third proportional to 128,800.50 and 283,291.50 is: 623,088.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    128,800.50 : 283,291.50 = 283,291.50 : x
  2. Step 2: Convert to fraction form
    128,800.50/283,291.50 = 283,291.50/x
  3. Step 3: Cross multiply
    128,800.50x = 283,291.50 × 283,291.50
  4. Step 4: Simplify right side
    128,800.50x = 80,254,073,972.25
  5. Step 5: Solve for x
    x = 80,254,073,972.25/128,800.50
  6. Step 6: Final answer
    x = 623,088.22

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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.