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Finding the Third Proportional to 289,586.81 and 438,121.13

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Solution

The third proportional to 289,586.81 and 438,121.13 is: 662,841.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    289,586.81 : 438,121.13 = 438,121.13 : x
  2. Step 2: Convert to fraction form
    289,586.81/438,121.13 = 438,121.13/x
  3. Step 3: Cross multiply
    289,586.81x = 438,121.13 × 438,121.13
  4. Step 4: Simplify right side
    289,586.81x = 191,950,120,171.27
  5. Step 5: Solve for x
    x = 191,950,120,171.27/289,586.81
  6. Step 6: Final answer
    x = 662,841.37

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.