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Finding the Third Proportional to 109,203.75 and 169,637.63

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Solution

The third proportional to 109,203.75 and 169,637.63 is: 263,515.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    109,203.75 : 169,637.63 = 169,637.63 : x
  2. Step 2: Convert to fraction form
    109,203.75/169,637.63 = 169,637.63/x
  3. Step 3: Cross multiply
    109,203.75x = 169,637.63 × 169,637.63
  4. Step 4: Simplify right side
    109,203.75x = 28,776,923,815.64
  5. Step 5: Solve for x
    x = 28,776,923,815.64/109,203.75
  6. Step 6: Final answer
    x = 263,515.89

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.