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Finding the Third Proportional to 63,313 and 137,682

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Solution

The third proportional to 63,313 and 137,682 is: 299,406.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    63,313 : 137,682 = 137,682 : x
  2. Step 2: Convert to fraction form
    63,313/137,682 = 137,682/x
  3. Step 3: Cross multiply
    63,313x = 137,682 × 137,682
  4. Step 4: Simplify right side
    63,313x = 18,956,333,124
  5. Step 5: Solve for x
    x = 18,956,333,124/63,313
  6. Step 6: Final answer
    x = 299,406.65

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.