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Finding the Third Proportional to 63,506 and 138,819

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Solution

The third proportional to 63,506 and 138,819 is: 303,447.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    63,506 : 138,819 = 138,819 : x
  2. Step 2: Convert to fraction form
    63,506/138,819 = 138,819/x
  3. Step 3: Cross multiply
    63,506x = 138,819 × 138,819
  4. Step 4: Simplify right side
    63,506x = 19,270,714,761
  5. Step 5: Solve for x
    x = 19,270,714,761/63,506
  6. Step 6: Final answer
    x = 303,447.15

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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.