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Finding the Third Proportional to 128,722.50 and 283,623

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Solution

The third proportional to 128,722.50 and 283,623 is: 624,925.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    128,722.50 : 283,623 = 283,623 : x
  2. Step 2: Convert to fraction form
    128,722.50/283,623 = 283,623/x
  3. Step 3: Cross multiply
    128,722.50x = 283,623 × 283,623
  4. Step 4: Simplify right side
    128,722.50x = 80,442,006,129
  5. Step 5: Solve for x
    x = 80,442,006,129/128,722.50
  6. Step 6: Final answer
    x = 624,925.76

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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.