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Finding the Third Proportional to 63,305 and 138,373

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Solution

The third proportional to 63,305 and 138,373 is: 302,457.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    63,305 : 138,373 = 138,373 : x
  2. Step 2: Convert to fraction form
    63,305/138,373 = 138,373/x
  3. Step 3: Cross multiply
    63,305x = 138,373 × 138,373
  4. Step 4: Simplify right side
    63,305x = 19,147,087,129
  5. Step 5: Solve for x
    x = 19,147,087,129/63,305
  6. Step 6: Final answer
    x = 302,457.74

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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.