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Finding the Third Proportional to 100,780.50 and 152,474.63

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Solution

The third proportional to 100,780.50 and 152,474.63 is: 230,684.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    100,780.50 : 152,474.63 = 152,474.63 : x
  2. Step 2: Convert to fraction form
    100,780.50/152,474.63 = 152,474.63/x
  3. Step 3: Cross multiply
    100,780.50x = 152,474.63 × 152,474.63
  4. Step 4: Simplify right side
    100,780.50x = 23,248,511,268.89
  5. Step 5: Solve for x
    x = 23,248,511,268.89/100,780.50
  6. Step 6: Final answer
    x = 230,684.62

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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.