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Finding the Third Proportional to 180,389.53 and 391,518.56

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Solution

The third proportional to 180,389.53 and 391,518.56 is: 849,754.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    180,389.53 : 391,518.56 = 391,518.56 : x
  2. Step 2: Convert to fraction form
    180,389.53/391,518.56 = 391,518.56/x
  3. Step 3: Cross multiply
    180,389.53x = 391,518.56 × 391,518.56
  4. Step 4: Simplify right side
    180,389.53x = 153,286,784,782.07
  5. Step 5: Solve for x
    x = 153,286,784,782.07/180,389.53
  6. Step 6: Final answer
    x = 849,754.33

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.