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Finding the Third Proportional to 63,475 and 139,174

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Solution

The third proportional to 63,475 and 139,174 is: 305,150.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    63,475 : 139,174 = 139,174 : x
  2. Step 2: Convert to fraction form
    63,475/139,174 = 139,174/x
  3. Step 3: Cross multiply
    63,475x = 139,174 × 139,174
  4. Step 4: Simplify right side
    63,475x = 19,369,402,276
  5. Step 5: Solve for x
    x = 19,369,402,276/63,475
  6. Step 6: Final answer
    x = 305,150.09

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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.