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Finding the Third Proportional to 64,026 and 92,232.56

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Solution

The third proportional to 64,026 and 92,232.56 is: 132,865.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    64,026 : 92,232.56 = 92,232.56 : x
  2. Step 2: Convert to fraction form
    64,026/92,232.56 = 92,232.56/x
  3. Step 3: Cross multiply
    64,026x = 92,232.56 × 92,232.56
  4. Step 4: Simplify right side
    64,026x = 8,506,845,585.32
  5. Step 5: Solve for x
    x = 8,506,845,585.32/64,026
  6. Step 6: Final answer
    x = 132,865.49

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Why These Related Problems?

These problems maintain the same ratio (1.44) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.