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Finding the Third Proportional to 64,639 and 137,103

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Solution

The third proportional to 64,639 and 137,103 is: 290,803.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    64,639 : 137,103 = 137,103 : x
  2. Step 2: Convert to fraction form
    64,639/137,103 = 137,103/x
  3. Step 3: Cross multiply
    64,639x = 137,103 × 137,103
  4. Step 4: Simplify right side
    64,639x = 18,797,232,609
  5. Step 5: Solve for x
    x = 18,797,232,609/64,639
  6. Step 6: Final answer
    x = 290,803.27

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Why These Related Problems?

These problems maintain the same ratio (2.12) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.