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Finding the Third Proportional to 63,429 and 138,159

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Solution

The third proportional to 63,429 and 138,159 is: 300,933.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    63,429 : 138,159 = 138,159 : x
  2. Step 2: Convert to fraction form
    63,429/138,159 = 138,159/x
  3. Step 3: Cross multiply
    63,429x = 138,159 × 138,159
  4. Step 4: Simplify right side
    63,429x = 19,087,909,281
  5. Step 5: Solve for x
    x = 19,087,909,281/63,429
  6. Step 6: Final answer
    x = 300,933.47

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.