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Finding the Third Proportional to 83,156.63 and 128,015.44

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Solution

The third proportional to 83,156.63 and 128,015.44 is: 197,073.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    83,156.63 : 128,015.44 = 128,015.44 : x
  2. Step 2: Convert to fraction form
    83,156.63/128,015.44 = 128,015.44/x
  3. Step 3: Cross multiply
    83,156.63x = 128,015.44 × 128,015.44
  4. Step 4: Simplify right side
    83,156.63x = 16,387,952,238.32
  5. Step 5: Solve for x
    x = 16,387,952,238.32/83,156.63
  6. Step 6: Final answer
    x = 197,073.32

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Why These Related Problems?

These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.