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Finding the Third Proportional to 63,928 and 139,097

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Solution

The third proportional to 63,928 and 139,097 is: 302,652.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    63,928 : 139,097 = 139,097 : x
  2. Step 2: Convert to fraction form
    63,928/139,097 = 139,097/x
  3. Step 3: Cross multiply
    63,928x = 139,097 × 139,097
  4. Step 4: Simplify right side
    63,928x = 19,347,975,409
  5. Step 5: Solve for x
    x = 19,347,975,409/63,928
  6. Step 6: Final answer
    x = 302,652.60

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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.