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Finding the Third Proportional to 63,780 and 138,798.75

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Solution

The third proportional to 63,780 and 138,798.75 is: 302,055.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    63,780 : 138,798.75 = 138,798.75 : x
  2. Step 2: Convert to fraction form
    63,780/138,798.75 = 138,798.75/x
  3. Step 3: Cross multiply
    63,780x = 138,798.75 × 138,798.75
  4. Step 4: Simplify right side
    63,780x = 19,265,093,001.56
  5. Step 5: Solve for x
    x = 19,265,093,001.56/63,780
  6. Step 6: Final answer
    x = 302,055.39

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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.