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Finding the Third Proportional to 384,147 and 561,453.75

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Solution

The third proportional to 384,147 and 561,453.75 is: 820,598.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    384,147 : 561,453.75 = 561,453.75 : x
  2. Step 2: Convert to fraction form
    384,147/561,453.75 = 561,453.75/x
  3. Step 3: Cross multiply
    384,147x = 561,453.75 × 561,453.75
  4. Step 4: Simplify right side
    384,147x = 315,230,313,389.06
  5. Step 5: Solve for x
    x = 315,230,313,389.06/384,147
  6. Step 6: Final answer
    x = 820,598.14

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Why These Related Problems?

These problems maintain the same ratio (1.46) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.