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Finding the Third Proportional to 381,460.50 and 590,128.31

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Solution

The third proportional to 381,460.50 and 590,128.31 is: 912,942.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    381,460.50 : 590,128.31 = 590,128.31 : x
  2. Step 2: Convert to fraction form
    381,460.50/590,128.31 = 590,128.31/x
  3. Step 3: Cross multiply
    381,460.50x = 590,128.31 × 590,128.31
  4. Step 4: Simplify right side
    381,460.50x = 348,251,425,214.10
  5. Step 5: Solve for x
    x = 348,251,425,214.10/381,460.50
  6. Step 6: Final answer
    x = 912,942.30

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