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Finding the Third Proportional to 131,123.81 and 281,363.63

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Solution

The third proportional to 131,123.81 and 281,363.63 is: 603,746.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    131,123.81 : 281,363.63 = 281,363.63 : x
  2. Step 2: Convert to fraction form
    131,123.81/281,363.63 = 281,363.63/x
  3. Step 3: Cross multiply
    131,123.81x = 281,363.63 × 281,363.63
  4. Step 4: Simplify right side
    131,123.81x = 79,165,489,473.14
  5. Step 5: Solve for x
    x = 79,165,489,473.14/131,123.81
  6. Step 6: Final answer
    x = 603,746.09

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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.