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Finding the Third Proportional to 128,032.31 and 276,822.56

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Solution

The third proportional to 128,032.31 and 276,822.56 is: 598,526.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    128,032.31 : 276,822.56 = 276,822.56 : x
  2. Step 2: Convert to fraction form
    128,032.31/276,822.56 = 276,822.56/x
  3. Step 3: Cross multiply
    128,032.31x = 276,822.56 × 276,822.56
  4. Step 4: Simplify right side
    128,032.31x = 76,630,731,109.07
  5. Step 5: Solve for x
    x = 76,630,731,109.07/128,032.31
  6. Step 6: Final answer
    x = 598,526.49

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.