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Finding the Third Proportional to 63,431.25 and 136,430.63

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Solution

The third proportional to 63,431.25 and 136,430.63 is: 293,440.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    63,431.25 : 136,430.63 = 136,430.63 : x
  2. Step 2: Convert to fraction form
    63,431.25/136,430.63 = 136,430.63/x
  3. Step 3: Cross multiply
    63,431.25x = 136,430.63 × 136,430.63
  4. Step 4: Simplify right side
    63,431.25x = 18,613,315,437.89
  5. Step 5: Solve for x
    x = 18,613,315,437.89/63,431.25
  6. Step 6: Final answer
    x = 293,440.78

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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.