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Finding the Third Proportional to 180,123.75 and 278,933.63

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Solution

The third proportional to 180,123.75 and 278,933.63 is: 431,947.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    180,123.75 : 278,933.63 = 278,933.63 : x
  2. Step 2: Convert to fraction form
    180,123.75/278,933.63 = 278,933.63/x
  3. Step 3: Cross multiply
    180,123.75x = 278,933.63 × 278,933.63
  4. Step 4: Simplify right side
    180,123.75x = 77,803,967,155.64
  5. Step 5: Solve for x
    x = 77,803,967,155.64/180,123.75
  6. Step 6: Final answer
    x = 431,947.30

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.