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Finding the Third Proportional to 245,673 and 389,529

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Solution

The third proportional to 245,673 and 389,529 is: 617,621.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    245,673 : 389,529 = 389,529 : x
  2. Step 2: Convert to fraction form
    245,673/389,529 = 389,529/x
  3. Step 3: Cross multiply
    245,673x = 389,529 × 389,529
  4. Step 4: Simplify right side
    245,673x = 151,732,841,841
  5. Step 5: Solve for x
    x = 151,732,841,841/245,673
  6. Step 6: Final answer
    x = 617,621.15

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Why These Related Problems?

These problems maintain the same ratio (1.59) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.