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Finding the Third Proportional to 63,937 and 139,115

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Solution

The third proportional to 63,937 and 139,115 is: 302,688.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    63,937 : 139,115 = 139,115 : x
  2. Step 2: Convert to fraction form
    63,937/139,115 = 139,115/x
  3. Step 3: Cross multiply
    63,937x = 139,115 × 139,115
  4. Step 4: Simplify right side
    63,937x = 19,352,983,225
  5. Step 5: Solve for x
    x = 19,352,983,225/63,937
  6. Step 6: Final answer
    x = 302,688.32

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.