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Finding the Third Proportional to 63,309 and 138,378

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Solution

The third proportional to 63,309 and 138,378 is: 302,460.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    63,309 : 138,378 = 138,378 : x
  2. Step 2: Convert to fraction form
    63,309/138,378 = 138,378/x
  3. Step 3: Cross multiply
    63,309x = 138,378 × 138,378
  4. Step 4: Simplify right side
    63,309x = 19,148,470,884
  5. Step 5: Solve for x
    x = 19,148,470,884/63,309
  6. Step 6: Final answer
    x = 302,460.49

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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.