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Finding the Third Proportional to 63,176 and 138,221

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Solution

The third proportional to 63,176 and 138,221 is: 302,409.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    63,176 : 138,221 = 138,221 : x
  2. Step 2: Convert to fraction form
    63,176/138,221 = 138,221/x
  3. Step 3: Cross multiply
    63,176x = 138,221 × 138,221
  4. Step 4: Simplify right side
    63,176x = 19,105,044,841
  5. Step 5: Solve for x
    x = 19,105,044,841/63,176
  6. Step 6: Final answer
    x = 302,409.85

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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.