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Finding the Third Proportional to 103,133.25 and 212,690.81

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Solution

The third proportional to 103,133.25 and 212,690.81 is: 438,630.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    103,133.25 : 212,690.81 = 212,690.81 : x
  2. Step 2: Convert to fraction form
    103,133.25/212,690.81 = 212,690.81/x
  3. Step 3: Cross multiply
    103,133.25x = 212,690.81 × 212,690.81
  4. Step 4: Simplify right side
    103,133.25x = 45,237,381,721.91
  5. Step 5: Solve for x
    x = 45,237,381,721.91/103,133.25
  6. Step 6: Final answer
    x = 438,630.43

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Why These Related Problems?

These problems maintain the same ratio (2.06) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.