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Finding the Third Proportional to 128,823.70 and 169,402.80

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Solution

The third proportional to 128,823.70 and 169,402.80 is: 222,764.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    128,823.70 : 169,402.80 = 169,402.80 : x
  2. Step 2: Convert to fraction form
    128,823.70/169,402.80 = 169,402.80/x
  3. Step 3: Cross multiply
    128,823.70x = 169,402.80 × 169,402.80
  4. Step 4: Simplify right side
    128,823.70x = 28,697,308,250.80
  5. Step 5: Solve for x
    x = 28,697,308,250.80/128,823.70
  6. Step 6: Final answer
    x = 222,764.20

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Why These Related Problems?

These problems maintain the same ratio (1.31) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.