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Finding the Third Proportional to 63,421.50 and 136,653

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Solution

The third proportional to 63,421.50 and 136,653 is: 294,443.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    63,421.50 : 136,653 = 136,653 : x
  2. Step 2: Convert to fraction form
    63,421.50/136,653 = 136,653/x
  3. Step 3: Cross multiply
    63,421.50x = 136,653 × 136,653
  4. Step 4: Simplify right side
    63,421.50x = 18,674,042,409
  5. Step 5: Solve for x
    x = 18,674,042,409/63,421.50
  6. Step 6: Final answer
    x = 294,443.40

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.