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Finding the Third Proportional to 63,477 and 139,178

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Solution

The third proportional to 63,477 and 139,178 is: 305,158.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    63,477 : 139,178 = 139,178 : x
  2. Step 2: Convert to fraction form
    63,477/139,178 = 139,178/x
  3. Step 3: Cross multiply
    63,477x = 139,178 × 139,178
  4. Step 4: Simplify right side
    63,477x = 19,370,515,684
  5. Step 5: Solve for x
    x = 19,370,515,684/63,477
  6. Step 6: Final answer
    x = 305,158.02

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.