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Finding the Third Proportional to 63,430 and 139,415

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Solution

The third proportional to 63,430 and 139,415 is: 306,425.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    63,430 : 139,415 = 139,415 : x
  2. Step 2: Convert to fraction form
    63,430/139,415 = 139,415/x
  3. Step 3: Cross multiply
    63,430x = 139,415 × 139,415
  4. Step 4: Simplify right side
    63,430x = 19,436,542,225
  5. Step 5: Solve for x
    x = 19,436,542,225/63,430
  6. Step 6: Final answer
    x = 306,425.07

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Why These Related Problems?

These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.