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Finding the Third Proportional to 268,856.13 and 412,683.63

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Solution

The third proportional to 268,856.13 and 412,683.63 is: 633,453.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    268,856.13 : 412,683.63 = 412,683.63 : x
  2. Step 2: Convert to fraction form
    268,856.13/412,683.63 = 412,683.63/x
  3. Step 3: Cross multiply
    268,856.13x = 412,683.63 × 412,683.63
  4. Step 4: Simplify right side
    268,856.13x = 170,307,774,343.14
  5. Step 5: Solve for x
    x = 170,307,774,343.14/268,856.13
  6. Step 6: Final answer
    x = 633,453.21

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Why These Related Problems?

These problems maintain the same ratio (1.53) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.