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Finding the Third Proportional to 64,634 and 135,124

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Solution

The third proportional to 64,634 and 135,124 is: 282,490.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    64,634 : 135,124 = 135,124 : x
  2. Step 2: Convert to fraction form
    64,634/135,124 = 135,124/x
  3. Step 3: Cross multiply
    64,634x = 135,124 × 135,124
  4. Step 4: Simplify right side
    64,634x = 18,258,495,376
  5. Step 5: Solve for x
    x = 18,258,495,376/64,634
  6. Step 6: Final answer
    x = 282,490.57

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Why These Related Problems?

These problems maintain the same ratio (2.09) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.