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Finding the Third Proportional to 63,098 and 139,324

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Solution

The third proportional to 63,098 and 139,324 is: 307,635.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    63,098 : 139,324 = 139,324 : x
  2. Step 2: Convert to fraction form
    63,098/139,324 = 139,324/x
  3. Step 3: Cross multiply
    63,098x = 139,324 × 139,324
  4. Step 4: Simplify right side
    63,098x = 19,411,176,976
  5. Step 5: Solve for x
    x = 19,411,176,976/63,098
  6. Step 6: Final answer
    x = 307,635.38

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Why These Related Problems?

These problems maintain the same ratio (2.21) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.